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Finding the Fourth Proportional to 782.77, 1,080.22 and 446.66

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Solution

The fourth proportional to 782.77, 1,080.22 and 446.66 is: 616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.77 : 1,080.22 = 446.66 : x
  2. Step 2: Convert to fraction form
    782.77/1,080.22 = 446.66/x
  3. Step 3: Cross multiply
    782.77x = 1,080.22 × 446.66
  4. Step 4: Simplify right side
    782.77x = 482,483.43
  5. Step 5: Solve for x
    x = 482,483.43/782.77
  6. Step 6: Final answer
    x = 616.38

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Find fourth proportional to 391.38, 540.11 and 223.33
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.