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Finding the Fourth Proportional to 914.43, 1,261.80 and 521.40

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Solution

The fourth proportional to 914.43, 1,261.80 and 521.40 is: 719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.43 : 1,261.80 = 521.40 : x
  2. Step 2: Convert to fraction form
    914.43/1,261.80 = 521.40/x
  3. Step 3: Cross multiply
    914.43x = 1,261.80 × 521.40
  4. Step 4: Simplify right side
    914.43x = 657,902.52
  5. Step 5: Solve for x
    x = 657,902.52/914.43
  6. Step 6: Final answer
    x = 719.47

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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.