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Finding the Fourth Proportional to 1,525.81, 2,289.66 and 704.15

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Solution

The fourth proportional to 1,525.81, 2,289.66 and 704.15 is: 1,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.81 : 2,289.66 = 704.15 : x
  2. Step 2: Convert to fraction form
    1,525.81/2,289.66 = 704.15/x
  3. Step 3: Cross multiply
    1,525.81x = 2,289.66 × 704.15
  4. Step 4: Simplify right side
    1,525.81x = 1,612,258.42
  5. Step 5: Solve for x
    x = 1,612,258.42/1,525.81
  6. Step 6: Final answer
    x = 1,056.65

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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.