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Finding the Fourth Proportional to 749.66, 1,034.62 and 454.94

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Solution

The fourth proportional to 749.66, 1,034.62 and 454.94 is: 627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.66 : 1,034.62 = 454.94 : x
  2. Step 2: Convert to fraction form
    749.66/1,034.62 = 454.94/x
  3. Step 3: Cross multiply
    749.66x = 1,034.62 × 454.94
  4. Step 4: Simplify right side
    749.66x = 470,690.02
  5. Step 5: Solve for x
    x = 470,690.02/749.66
  6. Step 6: Final answer
    x = 627.87

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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.