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Finding the Fourth Proportional to 914.60, 1,262.13 and 521.66

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Solution

The fourth proportional to 914.60, 1,262.13 and 521.66 is: 719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.60 : 1,262.13 = 521.66 : x
  2. Step 2: Convert to fraction form
    914.60/1,262.13 = 521.66/x
  3. Step 3: Cross multiply
    914.60x = 1,262.13 × 521.66
  4. Step 4: Simplify right side
    914.60x = 658,402.74
  5. Step 5: Solve for x
    x = 658,402.74/914.60
  6. Step 6: Final answer
    x = 719.88

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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.