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Finding the Fourth Proportional to 1,017.92, 1,528.12 and 671.54

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Solution

The fourth proportional to 1,017.92, 1,528.12 and 671.54 is: 1,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.92 : 1,528.12 = 671.54 : x
  2. Step 2: Convert to fraction form
    1,017.92/1,528.12 = 671.54/x
  3. Step 3: Cross multiply
    1,017.92x = 1,528.12 × 671.54
  4. Step 4: Simplify right side
    1,017.92x = 1,026,182.71
  5. Step 5: Solve for x
    x = 1,026,182.71/1,017.92
  6. Step 6: Final answer
    x = 1,008.12

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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.