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Finding the Fourth Proportional to 1,047.28, 1,570.92 and 469.48

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Solution

The fourth proportional to 1,047.28, 1,570.92 and 469.48 is: 704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.28 : 1,570.92 = 469.48 : x
  2. Step 2: Convert to fraction form
    1,047.28/1,570.92 = 469.48/x
  3. Step 3: Cross multiply
    1,047.28x = 1,570.92 × 469.48
  4. Step 4: Simplify right side
    1,047.28x = 737,515.52
  5. Step 5: Solve for x
    x = 737,515.52/1,047.28
  6. Step 6: Final answer
    x = 704.22

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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.