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Finding the Fourth Proportional to 843.18, 1,264.29 and 647.69

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Solution

The fourth proportional to 843.18, 1,264.29 and 647.69 is: 971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.18 : 1,264.29 = 647.69 : x
  2. Step 2: Convert to fraction form
    843.18/1,264.29 = 647.69/x
  3. Step 3: Cross multiply
    843.18x = 1,264.29 × 647.69
  4. Step 4: Simplify right side
    843.18x = 818,866.37
  5. Step 5: Solve for x
    x = 818,866.37/843.18
  6. Step 6: Final answer
    x = 971.17

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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.