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Finding the Fourth Proportional to 410.84, 613.66 and 387.15

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Solution

The fourth proportional to 410.84, 613.66 and 387.15 is: 578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.84 : 613.66 = 387.15 : x
  2. Step 2: Convert to fraction form
    410.84/613.66 = 387.15/x
  3. Step 3: Cross multiply
    410.84x = 613.66 × 387.15
  4. Step 4: Simplify right side
    410.84x = 237,578.47
  5. Step 5: Solve for x
    x = 237,578.47/410.84
  6. Step 6: Final answer
    x = 578.27

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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.