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Finding the Fourth Proportional to 929.31, 1,393.56 and 312.90

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Solution

The fourth proportional to 929.31, 1,393.56 and 312.90 is: 469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.31 : 1,393.56 = 312.90 : x
  2. Step 2: Convert to fraction form
    929.31/1,393.56 = 312.90/x
  3. Step 3: Cross multiply
    929.31x = 1,393.56 × 312.90
  4. Step 4: Simplify right side
    929.31x = 436,044.92
  5. Step 5: Solve for x
    x = 436,044.92/929.31
  6. Step 6: Final answer
    x = 469.21

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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.