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Finding the Fourth Proportional to 589.78, 813.54 and 424.18

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Solution

The fourth proportional to 589.78, 813.54 and 424.18 is: 585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.78 : 813.54 = 424.18 : x
  2. Step 2: Convert to fraction form
    589.78/813.54 = 424.18/x
  3. Step 3: Cross multiply
    589.78x = 813.54 × 424.18
  4. Step 4: Simplify right side
    589.78x = 345,087.40
  5. Step 5: Solve for x
    x = 345,087.40/589.78
  6. Step 6: Final answer
    x = 585.11

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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.