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Finding the Fourth Proportional to 564.95, 779.14 and 532.15

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Solution

The fourth proportional to 564.95, 779.14 and 532.15 is: 733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.95 : 779.14 = 532.15 : x
  2. Step 2: Convert to fraction form
    564.95/779.14 = 532.15/x
  3. Step 3: Cross multiply
    564.95x = 779.14 × 532.15
  4. Step 4: Simplify right side
    564.95x = 414,619.35
  5. Step 5: Solve for x
    x = 414,619.35/564.95
  6. Step 6: Final answer
    x = 733.90

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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.