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Finding the Fourth Proportional to 678.22, 1,011.60 and 657.71

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Solution

The fourth proportional to 678.22, 1,011.60 and 657.71 is: 981.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.22 : 1,011.60 = 657.71 : x
  2. Step 2: Convert to fraction form
    678.22/1,011.60 = 657.71/x
  3. Step 3: Cross multiply
    678.22x = 1,011.60 × 657.71
  4. Step 4: Simplify right side
    678.22x = 665,343.61
  5. Step 5: Solve for x
    x = 665,343.61/678.22
  6. Step 6: Final answer
    x = 981.01

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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.