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Finding the Fourth Proportional to 410.84, 613.56 and 365.48

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Solution

The fourth proportional to 410.84, 613.56 and 365.48 is: 545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.84 : 613.56 = 365.48 : x
  2. Step 2: Convert to fraction form
    410.84/613.56 = 365.48/x
  3. Step 3: Cross multiply
    410.84x = 613.56 × 365.48
  4. Step 4: Simplify right side
    410.84x = 224,245.91
  5. Step 5: Solve for x
    x = 224,245.91/410.84
  6. Step 6: Final answer
    x = 545.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.