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Finding the Fourth Proportional to 929.24, 1,394.56 and 442.30

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Solution

The fourth proportional to 929.24, 1,394.56 and 442.30 is: 663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.24 : 1,394.56 = 442.30 : x
  2. Step 2: Convert to fraction form
    929.24/1,394.56 = 442.30/x
  3. Step 3: Cross multiply
    929.24x = 1,394.56 × 442.30
  4. Step 4: Simplify right side
    929.24x = 616,813.89
  5. Step 5: Solve for x
    x = 616,813.89/929.24
  6. Step 6: Final answer
    x = 663.78

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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.