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Finding the Fourth Proportional to 435.66, 600.39 and 424.86

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Solution

The fourth proportional to 435.66, 600.39 and 424.86 is: 585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.66 : 600.39 = 424.86 : x
  2. Step 2: Convert to fraction form
    435.66/600.39 = 424.86/x
  3. Step 3: Cross multiply
    435.66x = 600.39 × 424.86
  4. Step 4: Simplify right side
    435.66x = 255,081.70
  5. Step 5: Solve for x
    x = 255,081.70/435.66
  6. Step 6: Final answer
    x = 585.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.