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Finding the Fourth Proportional to 944.55, 1,302.30 and 787.41

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Solution

The fourth proportional to 944.55, 1,302.30 and 787.41 is: 1,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.55 : 1,302.30 = 787.41 : x
  2. Step 2: Convert to fraction form
    944.55/1,302.30 = 787.41/x
  3. Step 3: Cross multiply
    944.55x = 1,302.30 × 787.41
  4. Step 4: Simplify right side
    944.55x = 1,025,444.04
  5. Step 5: Solve for x
    x = 1,025,444.04/944.55
  6. Step 6: Final answer
    x = 1,085.64

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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.