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Finding the Fourth Proportional to 750.54, 1,124.91 and 421.29

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Solution

The fourth proportional to 750.54, 1,124.91 and 421.29 is: 631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.54 : 1,124.91 = 421.29 : x
  2. Step 2: Convert to fraction form
    750.54/1,124.91 = 421.29/x
  3. Step 3: Cross multiply
    750.54x = 1,124.91 × 421.29
  4. Step 4: Simplify right side
    750.54x = 473,913.33
  5. Step 5: Solve for x
    x = 473,913.33/750.54
  6. Step 6: Final answer
    x = 631.43

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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.