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Finding the Fourth Proportional to 994.87, 1,492.11 and 578.15

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Solution

The fourth proportional to 994.87, 1,492.11 and 578.15 is: 867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.87 : 1,492.11 = 578.15 : x
  2. Step 2: Convert to fraction form
    994.87/1,492.11 = 578.15/x
  3. Step 3: Cross multiply
    994.87x = 1,492.11 × 578.15
  4. Step 4: Simplify right side
    994.87x = 862,663.40
  5. Step 5: Solve for x
    x = 862,663.40/994.87
  6. Step 6: Final answer
    x = 867.11

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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.