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Finding the Fourth Proportional to 1,173.12, 1,757.28 and 624

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Solution

The fourth proportional to 1,173.12, 1,757.28 and 624 is: 934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.12 : 1,757.28 = 624 : x
  2. Step 2: Convert to fraction form
    1,173.12/1,757.28 = 624/x
  3. Step 3: Cross multiply
    1,173.12x = 1,757.28 × 624
  4. Step 4: Simplify right side
    1,173.12x = 1,096,542.72
  5. Step 5: Solve for x
    x = 1,096,542.72/1,173.12
  6. Step 6: Final answer
    x = 934.72

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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.