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Finding the Fourth Proportional to 1,010.32, 1,508.02 and 906.64

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Solution

The fourth proportional to 1,010.32, 1,508.02 and 906.64 is: 1,353.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.32 : 1,508.02 = 906.64 : x
  2. Step 2: Convert to fraction form
    1,010.32/1,508.02 = 906.64/x
  3. Step 3: Cross multiply
    1,010.32x = 1,508.02 × 906.64
  4. Step 4: Simplify right side
    1,010.32x = 1,367,231.25
  5. Step 5: Solve for x
    x = 1,367,231.25/1,010.32
  6. Step 6: Final answer
    x = 1,353.27

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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.