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Finding the Fourth Proportional to 749.59, 1,034.17 and 454.75

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Solution

The fourth proportional to 749.59, 1,034.17 and 454.75 is: 627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.59 : 1,034.17 = 454.75 : x
  2. Step 2: Convert to fraction form
    749.59/1,034.17 = 454.75/x
  3. Step 3: Cross multiply
    749.59x = 1,034.17 × 454.75
  4. Step 4: Simplify right side
    749.59x = 470,285.09
  5. Step 5: Solve for x
    x = 470,285.09/749.59
  6. Step 6: Final answer
    x = 627.39

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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.