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Finding the Fourth Proportional to 1,527.70, 2,289.78 and 704.23

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Solution

The fourth proportional to 1,527.70, 2,289.78 and 704.23 is: 1,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.70 : 2,289.78 = 704.23 : x
  2. Step 2: Convert to fraction form
    1,527.70/2,289.78 = 704.23/x
  3. Step 3: Cross multiply
    1,527.70x = 2,289.78 × 704.23
  4. Step 4: Simplify right side
    1,527.70x = 1,612,531.77
  5. Step 5: Solve for x
    x = 1,612,531.77/1,527.70
  6. Step 6: Final answer
    x = 1,055.53

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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.