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Finding the Fourth Proportional to 740.52, 1,021.92 and 709.32

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Solution

The fourth proportional to 740.52, 1,021.92 and 709.32 is: 978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.52 : 1,021.92 = 709.32 : x
  2. Step 2: Convert to fraction form
    740.52/1,021.92 = 709.32/x
  3. Step 3: Cross multiply
    740.52x = 1,021.92 × 709.32
  4. Step 4: Simplify right side
    740.52x = 724,868.29
  5. Step 5: Solve for x
    x = 724,868.29/740.52
  6. Step 6: Final answer
    x = 978.86

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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.