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Finding the Fourth Proportional to 962.17, 1,328.48 and 839.46

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Solution

The fourth proportional to 962.17, 1,328.48 and 839.46 is: 1,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.17 : 1,328.48 = 839.46 : x
  2. Step 2: Convert to fraction form
    962.17/1,328.48 = 839.46/x
  3. Step 3: Cross multiply
    962.17x = 1,328.48 × 839.46
  4. Step 4: Simplify right side
    962.17x = 1,115,205.82
  5. Step 5: Solve for x
    x = 1,115,205.82/962.17
  6. Step 6: Final answer
    x = 1,159.05

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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.