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Finding the Fourth Proportional to 1,525.92, 2,287.53 and 659.76

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Solution

The fourth proportional to 1,525.92, 2,287.53 and 659.76 is: 989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.92 : 2,287.53 = 659.76 : x
  2. Step 2: Convert to fraction form
    1,525.92/2,287.53 = 659.76/x
  3. Step 3: Cross multiply
    1,525.92x = 2,287.53 × 659.76
  4. Step 4: Simplify right side
    1,525.92x = 1,509,220.79
  5. Step 5: Solve for x
    x = 1,509,220.79/1,525.92
  6. Step 6: Final answer
    x = 989.06

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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.