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Finding the Fourth Proportional to 565.13, 779.54 and 521.06

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Solution

The fourth proportional to 565.13, 779.54 and 521.06 is: 718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.13 : 779.54 = 521.06 : x
  2. Step 2: Convert to fraction form
    565.13/779.54 = 521.06/x
  3. Step 3: Cross multiply
    565.13x = 779.54 × 521.06
  4. Step 4: Simplify right side
    565.13x = 406,180.61
  5. Step 5: Solve for x
    x = 406,180.61/565.13
  6. Step 6: Final answer
    x = 718.74

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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.