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Finding the Fourth Proportional to 841.78, 1,158.06 and 644.95

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Solution

The fourth proportional to 841.78, 1,158.06 and 644.95 is: 887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.78 : 1,158.06 = 644.95 : x
  2. Step 2: Convert to fraction form
    841.78/1,158.06 = 644.95/x
  3. Step 3: Cross multiply
    841.78x = 1,158.06 × 644.95
  4. Step 4: Simplify right side
    841.78x = 746,890.80
  5. Step 5: Solve for x
    x = 746,890.80/841.78
  6. Step 6: Final answer
    x = 887.28

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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.