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Finding the Fourth Proportional to 432.86, 599.86 and 424.66

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Solution

The fourth proportional to 432.86, 599.86 and 424.66 is: 588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.86 : 599.86 = 424.66 : x
  2. Step 2: Convert to fraction form
    432.86/599.86 = 424.66/x
  3. Step 3: Cross multiply
    432.86x = 599.86 × 424.66
  4. Step 4: Simplify right side
    432.86x = 254,733.99
  5. Step 5: Solve for x
    x = 254,733.99/432.86
  6. Step 6: Final answer
    x = 588.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.