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Finding the Fourth Proportional to 1,195.12, 1,792.80 and 425.68

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Solution

The fourth proportional to 1,195.12, 1,792.80 and 425.68 is: 638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.12 : 1,792.80 = 425.68 : x
  2. Step 2: Convert to fraction form
    1,195.12/1,792.80 = 425.68/x
  3. Step 3: Cross multiply
    1,195.12x = 1,792.80 × 425.68
  4. Step 4: Simplify right side
    1,195.12x = 763,159.10
  5. Step 5: Solve for x
    x = 763,159.10/1,195.12
  6. Step 6: Final answer
    x = 638.56

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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.