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Finding the Fourth Proportional to 1,488.58, 2,232.09 and 514.45

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Solution

The fourth proportional to 1,488.58, 2,232.09 and 514.45 is: 771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.58 : 2,232.09 = 514.45 : x
  2. Step 2: Convert to fraction form
    1,488.58/2,232.09 = 514.45/x
  3. Step 3: Cross multiply
    1,488.58x = 2,232.09 × 514.45
  4. Step 4: Simplify right side
    1,488.58x = 1,148,298.70
  5. Step 5: Solve for x
    x = 1,148,298.70/1,488.58
  6. Step 6: Final answer
    x = 771.41

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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.