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Finding the Fourth Proportional to 2,972.79, 4,460.03 and 998.57

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Solution

The fourth proportional to 2,972.79, 4,460.03 and 998.57 is: 1,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.79 : 4,460.03 = 998.57 : x
  2. Step 2: Convert to fraction form
    2,972.79/4,460.03 = 998.57/x
  3. Step 3: Cross multiply
    2,972.79x = 4,460.03 × 998.57
  4. Step 4: Simplify right side
    2,972.79x = 4,453,658.31
  5. Step 5: Solve for x
    x = 4,453,658.31/2,972.79
  6. Step 6: Final answer
    x = 1,498.14

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1.5x scale

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.