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Finding the Fourth Proportional to 782.69, 1,080.35 and 451.34

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Solution

The fourth proportional to 782.69, 1,080.35 and 451.34 is: 622.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.69 : 1,080.35 = 451.34 : x
  2. Step 2: Convert to fraction form
    782.69/1,080.35 = 451.34/x
  3. Step 3: Cross multiply
    782.69x = 1,080.35 × 451.34
  4. Step 4: Simplify right side
    782.69x = 487,605.17
  5. Step 5: Solve for x
    x = 487,605.17/782.69
  6. Step 6: Final answer
    x = 622.99

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Double scale
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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.