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Finding the Fourth Proportional to 914.32, 1,261.82 and 521.47

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Solution

The fourth proportional to 914.32, 1,261.82 and 521.47 is: 719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.32 : 1,261.82 = 521.47 : x
  2. Step 2: Convert to fraction form
    914.32/1,261.82 = 521.47/x
  3. Step 3: Cross multiply
    914.32x = 1,261.82 × 521.47
  4. Step 4: Simplify right side
    914.32x = 658,001.28
  5. Step 5: Solve for x
    x = 658,001.28/914.32
  6. Step 6: Final answer
    x = 719.66

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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.