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Finding the Fourth Proportional to 921.96, 1,271.58 and 782.46

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Solution

The fourth proportional to 921.96, 1,271.58 and 782.46 is: 1,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.96 : 1,271.58 = 782.46 : x
  2. Step 2: Convert to fraction form
    921.96/1,271.58 = 782.46/x
  3. Step 3: Cross multiply
    921.96x = 1,271.58 × 782.46
  4. Step 4: Simplify right side
    921.96x = 994,960.49
  5. Step 5: Solve for x
    x = 994,960.49/921.96
  6. Step 6: Final answer
    x = 1,079.18

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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.