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Finding the Fourth Proportional to 424.89, 641.03 and 412.20

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Solution

The fourth proportional to 424.89, 641.03 and 412.20 is: 621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.89 : 641.03 = 412.20 : x
  2. Step 2: Convert to fraction form
    424.89/641.03 = 412.20/x
  3. Step 3: Cross multiply
    424.89x = 641.03 × 412.20
  4. Step 4: Simplify right side
    424.89x = 264,230.51
  5. Step 5: Solve for x
    x = 264,230.51/424.89
  6. Step 6: Final answer
    x = 621.88

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Find fourth proportional to 212.45, 320.51 and 206.10
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.