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Finding the Fourth Proportional to 747.90, 1,031.49 and 485.46

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Solution

The fourth proportional to 747.90, 1,031.49 and 485.46 is: 669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.90 : 1,031.49 = 485.46 : x
  2. Step 2: Convert to fraction form
    747.90/1,031.49 = 485.46/x
  3. Step 3: Cross multiply
    747.90x = 1,031.49 × 485.46
  4. Step 4: Simplify right side
    747.90x = 500,747.14
  5. Step 5: Solve for x
    x = 500,747.14/747.90
  6. Step 6: Final answer
    x = 669.54

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1.5x scale

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.