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Finding the Fourth Proportional to 702.42, 1,053.56 and 312.43

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Solution

The fourth proportional to 702.42, 1,053.56 and 312.43 is: 468.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.42 : 1,053.56 = 312.43 : x
  2. Step 2: Convert to fraction form
    702.42/1,053.56 = 312.43/x
  3. Step 3: Cross multiply
    702.42x = 1,053.56 × 312.43
  4. Step 4: Simplify right side
    702.42x = 329,167.31
  5. Step 5: Solve for x
    x = 329,167.31/702.42
  6. Step 6: Final answer
    x = 468.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.