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Finding the Fourth Proportional to 565.32, 778.79 and 537.53

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Solution

The fourth proportional to 565.32, 778.79 and 537.53 is: 740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.32 : 778.79 = 537.53 : x
  2. Step 2: Convert to fraction form
    565.32/778.79 = 537.53/x
  3. Step 3: Cross multiply
    565.32x = 778.79 × 537.53
  4. Step 4: Simplify right side
    565.32x = 418,619.09
  5. Step 5: Solve for x
    x = 418,619.09/565.32
  6. Step 6: Final answer
    x = 740.50

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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.