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Finding the Fourth Proportional to 632.96, 947.97 and 611.06

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Solution

The fourth proportional to 632.96, 947.97 and 611.06 is: 915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.96 : 947.97 = 611.06 : x
  2. Step 2: Convert to fraction form
    632.96/947.97 = 611.06/x
  3. Step 3: Cross multiply
    632.96x = 947.97 × 611.06
  4. Step 4: Simplify right side
    632.96x = 579,258.75
  5. Step 5: Solve for x
    x = 579,258.75/632.96
  6. Step 6: Final answer
    x = 915.17

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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.