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Finding the Fourth Proportional to 929.86, 1,395.05 and 442.24

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Solution

The fourth proportional to 929.86, 1,395.05 and 442.24 is: 663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.86 : 1,395.05 = 442.24 : x
  2. Step 2: Convert to fraction form
    929.86/1,395.05 = 442.24/x
  3. Step 3: Cross multiply
    929.86x = 1,395.05 × 442.24
  4. Step 4: Simplify right side
    929.86x = 616,941.21
  5. Step 5: Solve for x
    x = 616,941.21/929.86
  6. Step 6: Final answer
    x = 663.48

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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.