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Finding the Fourth Proportional to 570.55, 782.22 and 560.17

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Solution

The fourth proportional to 570.55, 782.22 and 560.17 is: 767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.55 : 782.22 = 560.17 : x
  2. Step 2: Convert to fraction form
    570.55/782.22 = 560.17/x
  3. Step 3: Cross multiply
    570.55x = 782.22 × 560.17
  4. Step 4: Simplify right side
    570.55x = 438,176.18
  5. Step 5: Solve for x
    x = 438,176.18/570.55
  6. Step 6: Final answer
    x = 767.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.