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Finding the Fourth Proportional to 641.49, 962.30 and 569.04

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Solution

The fourth proportional to 641.49, 962.30 and 569.04 is: 853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.49 : 962.30 = 569.04 : x
  2. Step 2: Convert to fraction form
    641.49/962.30 = 569.04/x
  3. Step 3: Cross multiply
    641.49x = 962.30 × 569.04
  4. Step 4: Simplify right side
    641.49x = 547,587.19
  5. Step 5: Solve for x
    x = 547,587.19/641.49
  6. Step 6: Final answer
    x = 853.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.