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Finding the Fourth Proportional to 974.77, 1,462.16 and 454.49

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Solution

The fourth proportional to 974.77, 1,462.16 and 454.49 is: 681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.77 : 1,462.16 = 454.49 : x
  2. Step 2: Convert to fraction form
    974.77/1,462.16 = 454.49/x
  3. Step 3: Cross multiply
    974.77x = 1,462.16 × 454.49
  4. Step 4: Simplify right side
    974.77x = 664,541.89
  5. Step 5: Solve for x
    x = 664,541.89/974.77
  6. Step 6: Final answer
    x = 681.74

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Double scale
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1.5x scale

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.