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Finding the Fourth Proportional to 856.62, 1,285.35 and 548.58

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Solution

The fourth proportional to 856.62, 1,285.35 and 548.58 is: 823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.62 : 1,285.35 = 548.58 : x
  2. Step 2: Convert to fraction form
    856.62/1,285.35 = 548.58/x
  3. Step 3: Cross multiply
    856.62x = 1,285.35 × 548.58
  4. Step 4: Simplify right side
    856.62x = 705,117.30
  5. Step 5: Solve for x
    x = 705,117.30/856.62
  6. Step 6: Final answer
    x = 823.14

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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.