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Finding the Fourth Proportional to 565.32, 776.00 and 521.58

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Solution

The fourth proportional to 565.32, 776.00 and 521.58 is: 715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.32 : 776.00 = 521.58 : x
  2. Step 2: Convert to fraction form
    565.32/776.00 = 521.58/x
  3. Step 3: Cross multiply
    565.32x = 776.00 × 521.58
  4. Step 4: Simplify right side
    565.32x = 404,743.47
  5. Step 5: Solve for x
    x = 404,743.47/565.32
  6. Step 6: Final answer
    x = 715.95

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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.