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Finding the Fourth Proportional to 860.47, 1,285.46 and 549.85

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Solution

The fourth proportional to 860.47, 1,285.46 and 549.85 is: 821.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.47 : 1,285.46 = 549.85 : x
  2. Step 2: Convert to fraction form
    860.47/1,285.46 = 549.85/x
  3. Step 3: Cross multiply
    860.47x = 1,285.46 × 549.85
  4. Step 4: Simplify right side
    860.47x = 706,810.18
  5. Step 5: Solve for x
    x = 706,810.18/860.47
  6. Step 6: Final answer
    x = 821.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.