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Finding the Fourth Proportional to 750.12, 1,125.90 and 462.12

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Solution

The fourth proportional to 750.12, 1,125.90 and 462.12 is: 693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.12 : 1,125.90 = 462.12 : x
  2. Step 2: Convert to fraction form
    750.12/1,125.90 = 462.12/x
  3. Step 3: Cross multiply
    750.12x = 1,125.90 × 462.12
  4. Step 4: Simplify right side
    750.12x = 520,300.91
  5. Step 5: Solve for x
    x = 520,300.91/750.12
  6. Step 6: Final answer
    x = 693.62

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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.