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Finding the Fourth Proportional to 914.14, 1,261.76 and 521.30

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Solution

The fourth proportional to 914.14, 1,261.76 and 521.30 is: 719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.14 : 1,261.76 = 521.30 : x
  2. Step 2: Convert to fraction form
    914.14/1,261.76 = 521.30/x
  3. Step 3: Cross multiply
    914.14x = 1,261.76 × 521.30
  4. Step 4: Simplify right side
    914.14x = 657,755.49
  5. Step 5: Solve for x
    x = 657,755.49/914.14
  6. Step 6: Final answer
    x = 719.53

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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.