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Finding the Fourth Proportional to 904.95, 1,248.81 and 532.14

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Solution

The fourth proportional to 904.95, 1,248.81 and 532.14 is: 734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.95 : 1,248.81 = 532.14 : x
  2. Step 2: Convert to fraction form
    904.95/1,248.81 = 532.14/x
  3. Step 3: Cross multiply
    904.95x = 1,248.81 × 532.14
  4. Step 4: Simplify right side
    904.95x = 664,541.75
  5. Step 5: Solve for x
    x = 664,541.75/904.95
  6. Step 6: Final answer
    x = 734.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.