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Finding the Fourth Proportional to 938.16, 1,405.80 and 572.40

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Solution

The fourth proportional to 938.16, 1,405.80 and 572.40 is: 857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.16 : 1,405.80 = 572.40 : x
  2. Step 2: Convert to fraction form
    938.16/1,405.80 = 572.40/x
  3. Step 3: Cross multiply
    938.16x = 1,405.80 × 572.40
  4. Step 4: Simplify right side
    938.16x = 804,679.92
  5. Step 5: Solve for x
    x = 804,679.92/938.16
  6. Step 6: Final answer
    x = 857.72

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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.