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Finding the Fourth Proportional to 705.96, 972.12 and 558.13

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Solution

The fourth proportional to 705.96, 972.12 and 558.13 is: 768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.96 : 972.12 = 558.13 : x
  2. Step 2: Convert to fraction form
    705.96/972.12 = 558.13/x
  3. Step 3: Cross multiply
    705.96x = 972.12 × 558.13
  4. Step 4: Simplify right side
    705.96x = 542,569.34
  5. Step 5: Solve for x
    x = 542,569.34/705.96
  6. Step 6: Final answer
    x = 768.56

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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.