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Finding the Fourth Proportional to 775.43, 1,070.17 and 460.77

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Solution

The fourth proportional to 775.43, 1,070.17 and 460.77 is: 635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.43 : 1,070.17 = 460.77 : x
  2. Step 2: Convert to fraction form
    775.43/1,070.17 = 460.77/x
  3. Step 3: Cross multiply
    775.43x = 1,070.17 × 460.77
  4. Step 4: Simplify right side
    775.43x = 493,098.03
  5. Step 5: Solve for x
    x = 493,098.03/775.43
  6. Step 6: Final answer
    x = 635.91

Related Problems

Find fourth proportional to 387.71, 535.09 and 230.38
Half scale
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Double scale
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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.