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Finding the Fourth Proportional to 817.30, 1,127.90 and 467.99

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Solution

The fourth proportional to 817.30, 1,127.90 and 467.99 is: 645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.30 : 1,127.90 = 467.99 : x
  2. Step 2: Convert to fraction form
    817.30/1,127.90 = 467.99/x
  3. Step 3: Cross multiply
    817.30x = 1,127.90 × 467.99
  4. Step 4: Simplify right side
    817.30x = 527,845.92
  5. Step 5: Solve for x
    x = 527,845.92/817.30
  6. Step 6: Final answer
    x = 645.84

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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.