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Finding the Fourth Proportional to 1,027.30, 1,531.19 and 968.92

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Solution

The fourth proportional to 1,027.30, 1,531.19 and 968.92 is: 1,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.30 : 1,531.19 = 968.92 : x
  2. Step 2: Convert to fraction form
    1,027.30/1,531.19 = 968.92/x
  3. Step 3: Cross multiply
    1,027.30x = 1,531.19 × 968.92
  4. Step 4: Simplify right side
    1,027.30x = 1,483,591.94
  5. Step 5: Solve for x
    x = 1,483,591.94/1,027.30
  6. Step 6: Final answer
    x = 1,444.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.