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Finding the Fourth Proportional to 611.69, 844.47 and 446.76

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Solution

The fourth proportional to 611.69, 844.47 and 446.76 is: 616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.69 : 844.47 = 446.76 : x
  2. Step 2: Convert to fraction form
    611.69/844.47 = 446.76/x
  3. Step 3: Cross multiply
    611.69x = 844.47 × 446.76
  4. Step 4: Simplify right side
    611.69x = 377,275.42
  5. Step 5: Solve for x
    x = 377,275.42/611.69
  6. Step 6: Final answer
    x = 616.78

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Find fourth proportional to 305.84, 422.24 and 223.38
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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.