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Finding the Fourth Proportional to 782.75, 1,080.10 and 451.23

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Solution

The fourth proportional to 782.75, 1,080.10 and 451.23 is: 622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.75 : 1,080.10 = 451.23 : x
  2. Step 2: Convert to fraction form
    782.75/1,080.10 = 451.23/x
  3. Step 3: Cross multiply
    782.75x = 1,080.10 × 451.23
  4. Step 4: Simplify right side
    782.75x = 487,373.52
  5. Step 5: Solve for x
    x = 487,373.52/782.75
  6. Step 6: Final answer
    x = 622.64

Related Problems

Find fourth proportional to 391.38, 540.05 and 225.62
Half scale
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Double scale
Find fourth proportional to 783.75, 1,081.48 and 452.23
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.