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Finding the Fourth Proportional to 938.15, 1,406.15 and 572.12

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Solution

The fourth proportional to 938.15, 1,406.15 and 572.12 is: 857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.15 : 1,406.15 = 572.12 : x
  2. Step 2: Convert to fraction form
    938.15/1,406.15 = 572.12/x
  3. Step 3: Cross multiply
    938.15x = 1,406.15 × 572.12
  4. Step 4: Simplify right side
    938.15x = 804,483.68
  5. Step 5: Solve for x
    x = 804,483.68/938.15
  6. Step 6: Final answer
    x = 857.53

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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.