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Finding the Fourth Proportional to 1,943.17, 2,915.04 and 644.35

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Solution

The fourth proportional to 1,943.17, 2,915.04 and 644.35 is: 966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.17 : 2,915.04 = 644.35 : x
  2. Step 2: Convert to fraction form
    1,943.17/2,915.04 = 644.35/x
  3. Step 3: Cross multiply
    1,943.17x = 2,915.04 × 644.35
  4. Step 4: Simplify right side
    1,943.17x = 1,878,306.02
  5. Step 5: Solve for x
    x = 1,878,306.02/1,943.17
  6. Step 6: Final answer
    x = 966.62

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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.