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Finding the Fourth Proportional to 836.18, 1,154.06 and 521.78

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Solution

The fourth proportional to 836.18, 1,154.06 and 521.78 is: 720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.18 : 1,154.06 = 521.78 : x
  2. Step 2: Convert to fraction form
    836.18/1,154.06 = 521.78/x
  3. Step 3: Cross multiply
    836.18x = 1,154.06 × 521.78
  4. Step 4: Simplify right side
    836.18x = 602,167.27
  5. Step 5: Solve for x
    x = 602,167.27/836.18
  6. Step 6: Final answer
    x = 720.14

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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.