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Finding the Fourth Proportional to 583.76, 873.78 and 409.61

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Solution

The fourth proportional to 583.76, 873.78 and 409.61 is: 613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.76 : 873.78 = 409.61 : x
  2. Step 2: Convert to fraction form
    583.76/873.78 = 409.61/x
  3. Step 3: Cross multiply
    583.76x = 873.78 × 409.61
  4. Step 4: Simplify right side
    583.76x = 357,909.03
  5. Step 5: Solve for x
    x = 357,909.03/583.76
  6. Step 6: Final answer
    x = 613.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.