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Finding the Fourth Proportional to 929.42, 1,385.81 and 903.90

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Solution

The fourth proportional to 929.42, 1,385.81 and 903.90 is: 1,347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.42 : 1,385.81 = 903.90 : x
  2. Step 2: Convert to fraction form
    929.42/1,385.81 = 903.90/x
  3. Step 3: Cross multiply
    929.42x = 1,385.81 × 903.90
  4. Step 4: Simplify right side
    929.42x = 1,252,635.92
  5. Step 5: Solve for x
    x = 1,252,635.92/929.42
  6. Step 6: Final answer
    x = 1,347.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.