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Finding the Fourth Proportional to 775.93, 1,070.57 and 461.17

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Solution

The fourth proportional to 775.93, 1,070.57 and 461.17 is: 636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.93 : 1,070.57 = 461.17 : x
  2. Step 2: Convert to fraction form
    775.93/1,070.57 = 461.17/x
  3. Step 3: Cross multiply
    775.93x = 1,070.57 × 461.17
  4. Step 4: Simplify right side
    775.93x = 493,711.65
  5. Step 5: Solve for x
    x = 493,711.65/775.93
  6. Step 6: Final answer
    x = 636.28

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1.5x scale

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.