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Finding the Fourth Proportional to 424.78, 589.04 and 410.96

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Solution

The fourth proportional to 424.78, 589.04 and 410.96 is: 569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.78 : 589.04 = 410.96 : x
  2. Step 2: Convert to fraction form
    424.78/589.04 = 410.96/x
  3. Step 3: Cross multiply
    424.78x = 589.04 × 410.96
  4. Step 4: Simplify right side
    424.78x = 242,071.88
  5. Step 5: Solve for x
    x = 242,071.88/424.78
  6. Step 6: Final answer
    x = 569.88

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Find fourth proportional to 212.39, 294.52 and 205.48
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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.