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Finding the Fourth Proportional to 918, 1,377.54 and 856.44

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Solution

The fourth proportional to 918, 1,377.54 and 856.44 is: 1,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    918 : 1,377.54 = 856.44 : x
  2. Step 2: Convert to fraction form
    918/1,377.54 = 856.44/x
  3. Step 3: Cross multiply
    918x = 1,377.54 × 856.44
  4. Step 4: Simplify right side
    918x = 1,179,780.36
  5. Step 5: Solve for x
    x = 1,179,780.36/918
  6. Step 6: Final answer
    x = 1,285.16

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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.