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Finding the Fourth Proportional to 775.73, 1,070.24 and 461.04

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Solution

The fourth proportional to 775.73, 1,070.24 and 461.04 is: 636.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.73 : 1,070.24 = 461.04 : x
  2. Step 2: Convert to fraction form
    775.73/1,070.24 = 461.04/x
  3. Step 3: Cross multiply
    775.73x = 1,070.24 × 461.04
  4. Step 4: Simplify right side
    775.73x = 493,421.14
  5. Step 5: Solve for x
    x = 493,421.14/775.73
  6. Step 6: Final answer
    x = 636.08

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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.