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Finding the Fourth Proportional to 751.24, 1,125.80 and 385.12

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Solution

The fourth proportional to 751.24, 1,125.80 and 385.12 is: 577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.24 : 1,125.80 = 385.12 : x
  2. Step 2: Convert to fraction form
    751.24/1,125.80 = 385.12/x
  3. Step 3: Cross multiply
    751.24x = 1,125.80 × 385.12
  4. Step 4: Simplify right side
    751.24x = 433,568.10
  5. Step 5: Solve for x
    x = 433,568.10/751.24
  6. Step 6: Final answer
    x = 577.14

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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.