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Finding the Fourth Proportional to 982.49, 1,466.10 and 878.63

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Solution

The fourth proportional to 982.49, 1,466.10 and 878.63 is: 1,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.49 : 1,466.10 = 878.63 : x
  2. Step 2: Convert to fraction form
    982.49/1,466.10 = 878.63/x
  3. Step 3: Cross multiply
    982.49x = 1,466.10 × 878.63
  4. Step 4: Simplify right side
    982.49x = 1,288,152.11
  5. Step 5: Solve for x
    x = 1,288,152.11/982.49
  6. Step 6: Final answer
    x = 1,311.12

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1.5x scale

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.