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Finding the Fourth Proportional to 709.47, 978.17 and 551.84

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Solution

The fourth proportional to 709.47, 978.17 and 551.84 is: 760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.47 : 978.17 = 551.84 : x
  2. Step 2: Convert to fraction form
    709.47/978.17 = 551.84/x
  3. Step 3: Cross multiply
    709.47x = 978.17 × 551.84
  4. Step 4: Simplify right side
    709.47x = 539,785.68
  5. Step 5: Solve for x
    x = 539,785.68/709.47
  6. Step 6: Final answer
    x = 760.83

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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.