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Finding the Fourth Proportional to 1,519.58, 2,279.69 and 493.50

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Solution

The fourth proportional to 1,519.58, 2,279.69 and 493.50 is: 740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.58 : 2,279.69 = 493.50 : x
  2. Step 2: Convert to fraction form
    1,519.58/2,279.69 = 493.50/x
  3. Step 3: Cross multiply
    1,519.58x = 2,279.69 × 493.50
  4. Step 4: Simplify right side
    1,519.58x = 1,125,027.02
  5. Step 5: Solve for x
    x = 1,125,027.02/1,519.58
  6. Step 6: Final answer
    x = 740.35

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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.