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Finding the Fourth Proportional to 911.76, 1,258.56 and 714.48

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Solution

The fourth proportional to 911.76, 1,258.56 and 714.48 is: 986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.76 : 1,258.56 = 714.48 : x
  2. Step 2: Convert to fraction form
    911.76/1,258.56 = 714.48/x
  3. Step 3: Cross multiply
    911.76x = 1,258.56 × 714.48
  4. Step 4: Simplify right side
    911.76x = 899,215.95
  5. Step 5: Solve for x
    x = 899,215.95/911.76
  6. Step 6: Final answer
    x = 986.24

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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.