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Finding the Fourth Proportional to 493.79, 680.28 and 410.77

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Solution

The fourth proportional to 493.79, 680.28 and 410.77 is: 565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.79 : 680.28 = 410.77 : x
  2. Step 2: Convert to fraction form
    493.79/680.28 = 410.77/x
  3. Step 3: Cross multiply
    493.79x = 680.28 × 410.77
  4. Step 4: Simplify right side
    493.79x = 279,435.21
  5. Step 5: Solve for x
    x = 279,435.21/493.79
  6. Step 6: Final answer
    x = 565.90

Related Problems

Find fourth proportional to 246.90, 340.14 and 205.38
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Double scale
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Similar ratio
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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.