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Finding the Fourth Proportional to 698.31, 962.76 and 541.17

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Solution

The fourth proportional to 698.31, 962.76 and 541.17 is: 746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.31 : 962.76 = 541.17 : x
  2. Step 2: Convert to fraction form
    698.31/962.76 = 541.17/x
  3. Step 3: Cross multiply
    698.31x = 962.76 × 541.17
  4. Step 4: Simplify right side
    698.31x = 521,016.83
  5. Step 5: Solve for x
    x = 521,016.83/698.31
  6. Step 6: Final answer
    x = 746.11

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Double scale
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1.5x scale

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.