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Finding the Fourth Proportional to 565.93, 778.76 and 500.59

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Solution

The fourth proportional to 565.93, 778.76 and 500.59 is: 688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.93 : 778.76 = 500.59 : x
  2. Step 2: Convert to fraction form
    565.93/778.76 = 500.59/x
  3. Step 3: Cross multiply
    565.93x = 778.76 × 500.59
  4. Step 4: Simplify right side
    565.93x = 389,836.83
  5. Step 5: Solve for x
    x = 389,836.83/565.93
  6. Step 6: Final answer
    x = 688.85

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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.