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Finding the Fourth Proportional to 827.80, 1,142.12 and 478.42

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Solution

The fourth proportional to 827.80, 1,142.12 and 478.42 is: 660.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.80 : 1,142.12 = 478.42 : x
  2. Step 2: Convert to fraction form
    827.80/1,142.12 = 478.42/x
  3. Step 3: Cross multiply
    827.80x = 1,142.12 × 478.42
  4. Step 4: Simplify right side
    827.80x = 546,413.05
  5. Step 5: Solve for x
    x = 546,413.05/827.80
  6. Step 6: Final answer
    x = 660.08

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1.5x scale

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.