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Finding the Fourth Proportional to 808.70, 1,116.20 and 560.30

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Solution

The fourth proportional to 808.70, 1,116.20 and 560.30 is: 773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.70 : 1,116.20 = 560.30 : x
  2. Step 2: Convert to fraction form
    808.70/1,116.20 = 560.30/x
  3. Step 3: Cross multiply
    808.70x = 1,116.20 × 560.30
  4. Step 4: Simplify right side
    808.70x = 625,406.86
  5. Step 5: Solve for x
    x = 625,406.86/808.70
  6. Step 6: Final answer
    x = 773.35

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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.