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Finding the Fourth Proportional to 782.10, 1,079.22 and 432.75

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Solution

The fourth proportional to 782.10, 1,079.22 and 432.75 is: 597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.10 : 1,079.22 = 432.75 : x
  2. Step 2: Convert to fraction form
    782.10/1,079.22 = 432.75/x
  3. Step 3: Cross multiply
    782.10x = 1,079.22 × 432.75
  4. Step 4: Simplify right side
    782.10x = 467,032.46
  5. Step 5: Solve for x
    x = 467,032.46/782.10
  6. Step 6: Final answer
    x = 597.15

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Find fourth proportional to 391.05, 539.61 and 216.38
Half scale
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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.