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Finding the Fourth Proportional to 880, 1,214.40 and 604.16

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Solution

The fourth proportional to 880, 1,214.40 and 604.16 is: 833.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    880 : 1,214.40 = 604.16 : x
  2. Step 2: Convert to fraction form
    880/1,214.40 = 604.16/x
  3. Step 3: Cross multiply
    880x = 1,214.40 × 604.16
  4. Step 4: Simplify right side
    880x = 733,691.90
  5. Step 5: Solve for x
    x = 733,691.90/880
  6. Step 6: Final answer
    x = 833.74

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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.