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Finding the Fourth Proportional to 747.63, 1,031.54 and 448.74

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Solution

The fourth proportional to 747.63, 1,031.54 and 448.74 is: 619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.63 : 1,031.54 = 448.74 : x
  2. Step 2: Convert to fraction form
    747.63/1,031.54 = 448.74/x
  3. Step 3: Cross multiply
    747.63x = 1,031.54 × 448.74
  4. Step 4: Simplify right side
    747.63x = 462,891.02
  5. Step 5: Solve for x
    x = 462,891.02/747.63
  6. Step 6: Final answer
    x = 619.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.