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Finding the Fourth Proportional to 678.76, 937.04 and 458.87

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Solution

The fourth proportional to 678.76, 937.04 and 458.87 is: 633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.76 : 937.04 = 458.87 : x
  2. Step 2: Convert to fraction form
    678.76/937.04 = 458.87/x
  3. Step 3: Cross multiply
    678.76x = 937.04 × 458.87
  4. Step 4: Simplify right side
    678.76x = 429,979.54
  5. Step 5: Solve for x
    x = 429,979.54/678.76
  6. Step 6: Final answer
    x = 633.48

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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.