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Finding the Fourth Proportional to 705.31, 973.82 and 527.92

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Solution

The fourth proportional to 705.31, 973.82 and 527.92 is: 728.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.31 : 973.82 = 527.92 : x
  2. Step 2: Convert to fraction form
    705.31/973.82 = 527.92/x
  3. Step 3: Cross multiply
    705.31x = 973.82 × 527.92
  4. Step 4: Simplify right side
    705.31x = 514,097.94
  5. Step 5: Solve for x
    x = 514,097.94/705.31
  6. Step 6: Final answer
    x = 728.90

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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.