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Finding the Fourth Proportional to 1,465.57, 2,198.50 and 632.91

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Solution

The fourth proportional to 1,465.57, 2,198.50 and 632.91 is: 949.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.57 : 2,198.50 = 632.91 : x
  2. Step 2: Convert to fraction form
    1,465.57/2,198.50 = 632.91/x
  3. Step 3: Cross multiply
    1,465.57x = 2,198.50 × 632.91
  4. Step 4: Simplify right side
    1,465.57x = 1,391,452.64
  5. Step 5: Solve for x
    x = 1,391,452.64/1,465.57
  6. Step 6: Final answer
    x = 949.43

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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.