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Finding the Fourth Proportional to 1,291.40, 1,937.10 and 425.50

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Solution

The fourth proportional to 1,291.40, 1,937.10 and 425.50 is: 638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.40 : 1,937.10 = 425.50 : x
  2. Step 2: Convert to fraction form
    1,291.40/1,937.10 = 425.50/x
  3. Step 3: Cross multiply
    1,291.40x = 1,937.10 × 425.50
  4. Step 4: Simplify right side
    1,291.40x = 824,236.05
  5. Step 5: Solve for x
    x = 824,236.05/1,291.40
  6. Step 6: Final answer
    x = 638.25

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Double scale
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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.