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Finding the Fourth Proportional to 436.61, 598.13 and 420.83

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Solution

The fourth proportional to 436.61, 598.13 and 420.83 is: 576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.61 : 598.13 = 420.83 : x
  2. Step 2: Convert to fraction form
    436.61/598.13 = 420.83/x
  3. Step 3: Cross multiply
    436.61x = 598.13 × 420.83
  4. Step 4: Simplify right side
    436.61x = 251,711.05
  5. Step 5: Solve for x
    x = 251,711.05/436.61
  6. Step 6: Final answer
    x = 576.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.