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Finding the Fourth Proportional to 1,658.90, 2,488.37 and 672.18

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Solution

The fourth proportional to 1,658.90, 2,488.37 and 672.18 is: 1,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.90 : 2,488.37 = 672.18 : x
  2. Step 2: Convert to fraction form
    1,658.90/2,488.37 = 672.18/x
  3. Step 3: Cross multiply
    1,658.90x = 2,488.37 × 672.18
  4. Step 4: Simplify right side
    1,658.90x = 1,672,632.55
  5. Step 5: Solve for x
    x = 1,672,632.55/1,658.90
  6. Step 6: Final answer
    x = 1,008.28

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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.