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Finding the Fourth Proportional to 585.47, 876.63 and 551.72

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Solution

The fourth proportional to 585.47, 876.63 and 551.72 is: 826.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.47 : 876.63 = 551.72 : x
  2. Step 2: Convert to fraction form
    585.47/876.63 = 551.72/x
  3. Step 3: Cross multiply
    585.47x = 876.63 × 551.72
  4. Step 4: Simplify right side
    585.47x = 483,654.30
  5. Step 5: Solve for x
    x = 483,654.30/585.47
  6. Step 6: Final answer
    x = 826.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.