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Finding the Fourth Proportional to 2,509.79, 3,764.90 and 660.89

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Solution

The fourth proportional to 2,509.79, 3,764.90 and 660.89 is: 991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.79 : 3,764.90 = 660.89 : x
  2. Step 2: Convert to fraction form
    2,509.79/3,764.90 = 660.89/x
  3. Step 3: Cross multiply
    2,509.79x = 3,764.90 × 660.89
  4. Step 4: Simplify right side
    2,509.79x = 2,488,162.63
  5. Step 5: Solve for x
    x = 2,488,162.63/2,509.79
  6. Step 6: Final answer
    x = 991.38

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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.