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Finding the Fourth Proportional to 914.40, 1,377.06 and 828.72

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Solution

The fourth proportional to 914.40, 1,377.06 and 828.72 is: 1,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.40 : 1,377.06 = 828.72 : x
  2. Step 2: Convert to fraction form
    914.40/1,377.06 = 828.72/x
  3. Step 3: Cross multiply
    914.40x = 1,377.06 × 828.72
  4. Step 4: Simplify right side
    914.40x = 1,141,197.16
  5. Step 5: Solve for x
    x = 1,141,197.16/914.40
  6. Step 6: Final answer
    x = 1,248.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.