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Finding the Fourth Proportional to 562.05, 774.38 and 421.95

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Solution

The fourth proportional to 562.05, 774.38 and 421.95 is: 581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.05 : 774.38 = 421.95 : x
  2. Step 2: Convert to fraction form
    562.05/774.38 = 421.95/x
  3. Step 3: Cross multiply
    562.05x = 774.38 × 421.95
  4. Step 4: Simplify right side
    562.05x = 326,747.53
  5. Step 5: Solve for x
    x = 326,747.53/562.05
  6. Step 6: Final answer
    x = 581.35

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Double scale
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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.