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Finding the Fourth Proportional to 1,128.60, 1,693.08 and 398.16

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Solution

The fourth proportional to 1,128.60, 1,693.08 and 398.16 is: 597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.60 : 1,693.08 = 398.16 : x
  2. Step 2: Convert to fraction form
    1,128.60/1,693.08 = 398.16/x
  3. Step 3: Cross multiply
    1,128.60x = 1,693.08 × 398.16
  4. Step 4: Simplify right side
    1,128.60x = 674,116.73
  5. Step 5: Solve for x
    x = 674,116.73/1,128.60
  6. Step 6: Final answer
    x = 597.30

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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.