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Finding the Fourth Proportional to 720.90, 1,074.87 and 713.61

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Solution

The fourth proportional to 720.90, 1,074.87 and 713.61 is: 1,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.90 : 1,074.87 = 713.61 : x
  2. Step 2: Convert to fraction form
    720.90/1,074.87 = 713.61/x
  3. Step 3: Cross multiply
    720.90x = 1,074.87 × 713.61
  4. Step 4: Simplify right side
    720.90x = 767,037.98
  5. Step 5: Solve for x
    x = 767,037.98/720.90
  6. Step 6: Final answer
    x = 1,064.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.