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Finding the Fourth Proportional to 623.76, 931.67 and 588.24

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Solution

The fourth proportional to 623.76, 931.67 and 588.24 is: 878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.76 : 931.67 = 588.24 : x
  2. Step 2: Convert to fraction form
    623.76/931.67 = 588.24/x
  3. Step 3: Cross multiply
    623.76x = 931.67 × 588.24
  4. Step 4: Simplify right side
    623.76x = 548,042.62
  5. Step 5: Solve for x
    x = 548,042.62/623.76
  6. Step 6: Final answer
    x = 878.61

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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.