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Finding the Fourth Proportional to 565.68, 777.69 and 562.17

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Solution

The fourth proportional to 565.68, 777.69 and 562.17 is: 772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.68 : 777.69 = 562.17 : x
  2. Step 2: Convert to fraction form
    565.68/777.69 = 562.17/x
  3. Step 3: Cross multiply
    565.68x = 777.69 × 562.17
  4. Step 4: Simplify right side
    565.68x = 437,193.99
  5. Step 5: Solve for x
    x = 437,193.99/565.68
  6. Step 6: Final answer
    x = 772.86

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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.