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Finding the Fourth Proportional to 824.40, 1,135.68 and 666.72

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Solution

The fourth proportional to 824.40, 1,135.68 and 666.72 is: 918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.40 : 1,135.68 = 666.72 : x
  2. Step 2: Convert to fraction form
    824.40/1,135.68 = 666.72/x
  3. Step 3: Cross multiply
    824.40x = 1,135.68 × 666.72
  4. Step 4: Simplify right side
    824.40x = 757,180.57
  5. Step 5: Solve for x
    x = 757,180.57/824.40
  6. Step 6: Final answer
    x = 918.46

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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.