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Finding the Fourth Proportional to 817.07, 1,127.61 and 467.69

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Solution

The fourth proportional to 817.07, 1,127.61 and 467.69 is: 645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.07 : 1,127.61 = 467.69 : x
  2. Step 2: Convert to fraction form
    817.07/1,127.61 = 467.69/x
  3. Step 3: Cross multiply
    817.07x = 1,127.61 × 467.69
  4. Step 4: Simplify right side
    817.07x = 527,366.28
  5. Step 5: Solve for x
    x = 527,366.28/817.07
  6. Step 6: Final answer
    x = 645.44

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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.