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Finding the Fourth Proportional to 1,342.10, 2,013.12 and 417.62

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Solution

The fourth proportional to 1,342.10, 2,013.12 and 417.62 is: 626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.10 : 2,013.12 = 417.62 : x
  2. Step 2: Convert to fraction form
    1,342.10/2,013.12 = 417.62/x
  3. Step 3: Cross multiply
    1,342.10x = 2,013.12 × 417.62
  4. Step 4: Simplify right side
    1,342.10x = 840,724.21
  5. Step 5: Solve for x
    x = 840,724.21/1,342.10
  6. Step 6: Final answer
    x = 626.42

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Double scale
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1.5x scale

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.