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Finding the Fourth Proportional to 410.76, 613.38 and 389.70

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Solution

The fourth proportional to 410.76, 613.38 and 389.70 is: 581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.76 : 613.38 = 389.70 : x
  2. Step 2: Convert to fraction form
    410.76/613.38 = 389.70/x
  3. Step 3: Cross multiply
    410.76x = 613.38 × 389.70
  4. Step 4: Simplify right side
    410.76x = 239,034.19
  5. Step 5: Solve for x
    x = 239,034.19/410.76
  6. Step 6: Final answer
    x = 581.93

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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.