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Finding the Fourth Proportional to 731, 1,005.54 and 643.52

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Solution

The fourth proportional to 731, 1,005.54 and 643.52 is: 885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    731 : 1,005.54 = 643.52 : x
  2. Step 2: Convert to fraction form
    731/1,005.54 = 643.52/x
  3. Step 3: Cross multiply
    731x = 1,005.54 × 643.52
  4. Step 4: Simplify right side
    731x = 647,085.10
  5. Step 5: Solve for x
    x = 647,085.10/731
  6. Step 6: Final answer
    x = 885.21

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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.