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Finding the Fourth Proportional to 743.39, 1,024.04 and 710.27

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Solution

The fourth proportional to 743.39, 1,024.04 and 710.27 is: 978.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.39 : 1,024.04 = 710.27 : x
  2. Step 2: Convert to fraction form
    743.39/1,024.04 = 710.27/x
  3. Step 3: Cross multiply
    743.39x = 1,024.04 × 710.27
  4. Step 4: Simplify right side
    743.39x = 727,341.34
  5. Step 5: Solve for x
    x = 727,341.34/743.39
  6. Step 6: Final answer
    x = 978.41

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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.