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Finding the Fourth Proportional to 1,009.72, 1,512.30 and 488.92

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Solution

The fourth proportional to 1,009.72, 1,512.30 and 488.92 is: 732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.72 : 1,512.30 = 488.92 : x
  2. Step 2: Convert to fraction form
    1,009.72/1,512.30 = 488.92/x
  3. Step 3: Cross multiply
    1,009.72x = 1,512.30 × 488.92
  4. Step 4: Simplify right side
    1,009.72x = 739,393.72
  5. Step 5: Solve for x
    x = 739,393.72/1,009.72
  6. Step 6: Final answer
    x = 732.28

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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.