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Finding the Fourth Proportional to 1,021.57, 1,407.85 and 726.32

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Solution

The fourth proportional to 1,021.57, 1,407.85 and 726.32 is: 1,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.57 : 1,407.85 = 726.32 : x
  2. Step 2: Convert to fraction form
    1,021.57/1,407.85 = 726.32/x
  3. Step 3: Cross multiply
    1,021.57x = 1,407.85 × 726.32
  4. Step 4: Simplify right side
    1,021.57x = 1,022,551.32
  5. Step 5: Solve for x
    x = 1,022,551.32/1,021.57
  6. Step 6: Final answer
    x = 1,000.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.