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Finding the Fourth Proportional to 1,117.90, 1,676.28 and 387.28

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Solution

The fourth proportional to 1,117.90, 1,676.28 and 387.28 is: 580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.90 : 1,676.28 = 387.28 : x
  2. Step 2: Convert to fraction form
    1,117.90/1,676.28 = 387.28/x
  3. Step 3: Cross multiply
    1,117.90x = 1,676.28 × 387.28
  4. Step 4: Simplify right side
    1,117.90x = 649,181.34
  5. Step 5: Solve for x
    x = 649,181.34/1,117.90
  6. Step 6: Final answer
    x = 580.72

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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.