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Finding the Fourth Proportional to 874.28, 1,207.08 and 608.64

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Solution

The fourth proportional to 874.28, 1,207.08 and 608.64 is: 840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.28 : 1,207.08 = 608.64 : x
  2. Step 2: Convert to fraction form
    874.28/1,207.08 = 608.64/x
  3. Step 3: Cross multiply
    874.28x = 1,207.08 × 608.64
  4. Step 4: Simplify right side
    874.28x = 734,677.17
  5. Step 5: Solve for x
    x = 734,677.17/874.28
  6. Step 6: Final answer
    x = 840.33

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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.