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Finding the Fourth Proportional to 1,752.80, 2,630.72 and 713.36

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Solution

The fourth proportional to 1,752.80, 2,630.72 and 713.36 is: 1,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.80 : 2,630.72 = 713.36 : x
  2. Step 2: Convert to fraction form
    1,752.80/2,630.72 = 713.36/x
  3. Step 3: Cross multiply
    1,752.80x = 2,630.72 × 713.36
  4. Step 4: Simplify right side
    1,752.80x = 1,876,658.78
  5. Step 5: Solve for x
    x = 1,876,658.78/1,752.80
  6. Step 6: Final answer
    x = 1,070.67

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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.