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Finding the Fourth Proportional to 817, 1,127.51 and 462.95

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Solution

The fourth proportional to 817, 1,127.51 and 462.95 is: 638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    817 : 1,127.51 = 462.95 : x
  2. Step 2: Convert to fraction form
    817/1,127.51 = 462.95/x
  3. Step 3: Cross multiply
    817x = 1,127.51 × 462.95
  4. Step 4: Simplify right side
    817x = 521,980.75
  5. Step 5: Solve for x
    x = 521,980.75/817
  6. Step 6: Final answer
    x = 638.90

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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.