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Finding the Fourth Proportional to 678.16, 1,011.14 and 631.92

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Solution

The fourth proportional to 678.16, 1,011.14 and 631.92 is: 942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.16 : 1,011.14 = 631.92 : x
  2. Step 2: Convert to fraction form
    678.16/1,011.14 = 631.92/x
  3. Step 3: Cross multiply
    678.16x = 1,011.14 × 631.92
  4. Step 4: Simplify right side
    678.16x = 638,959.59
  5. Step 5: Solve for x
    x = 638,959.59/678.16
  6. Step 6: Final answer
    x = 942.20

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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.