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Finding the Fourth Proportional to 678.48, 1,011.05 and 656.43

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Solution

The fourth proportional to 678.48, 1,011.05 and 656.43 is: 978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.48 : 1,011.05 = 656.43 : x
  2. Step 2: Convert to fraction form
    678.48/1,011.05 = 656.43/x
  3. Step 3: Cross multiply
    678.48x = 1,011.05 × 656.43
  4. Step 4: Simplify right side
    678.48x = 663,680.27
  5. Step 5: Solve for x
    x = 663,680.27/678.48
  6. Step 6: Final answer
    x = 978.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.