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Finding the Fourth Proportional to 824.14, 1,137.80 and 657.68

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Solution

The fourth proportional to 824.14, 1,137.80 and 657.68 is: 908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.14 : 1,137.80 = 657.68 : x
  2. Step 2: Convert to fraction form
    824.14/1,137.80 = 657.68/x
  3. Step 3: Cross multiply
    824.14x = 1,137.80 × 657.68
  4. Step 4: Simplify right side
    824.14x = 748,312.79
  5. Step 5: Solve for x
    x = 748,312.79/824.14
  6. Step 6: Final answer
    x = 908.00

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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.