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Finding the Fourth Proportional to 930.42, 1,387.30 and 904.90

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Solution

The fourth proportional to 930.42, 1,387.30 and 904.90 is: 1,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.42 : 1,387.30 = 904.90 : x
  2. Step 2: Convert to fraction form
    930.42/1,387.30 = 904.90/x
  3. Step 3: Cross multiply
    930.42x = 1,387.30 × 904.90
  4. Step 4: Simplify right side
    930.42x = 1,255,367.77
  5. Step 5: Solve for x
    x = 1,255,367.77/930.42
  6. Step 6: Final answer
    x = 1,349.25

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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.