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Finding the Fourth Proportional to 1,539.60, 2,309.76 and 499.65

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Solution

The fourth proportional to 1,539.60, 2,309.76 and 499.65 is: 749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.60 : 2,309.76 = 499.65 : x
  2. Step 2: Convert to fraction form
    1,539.60/2,309.76 = 499.65/x
  3. Step 3: Cross multiply
    1,539.60x = 2,309.76 × 499.65
  4. Step 4: Simplify right side
    1,539.60x = 1,154,071.58
  5. Step 5: Solve for x
    x = 1,154,071.58/1,539.60
  6. Step 6: Final answer
    x = 749.59

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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.