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Finding the Fourth Proportional to 717.78, 1,075.86 and 709.68

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Solution

The fourth proportional to 717.78, 1,075.86 and 709.68 is: 1,063.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.78 : 1,075.86 = 709.68 : x
  2. Step 2: Convert to fraction form
    717.78/1,075.86 = 709.68/x
  3. Step 3: Cross multiply
    717.78x = 1,075.86 × 709.68
  4. Step 4: Simplify right side
    717.78x = 763,516.32
  5. Step 5: Solve for x
    x = 763,516.32/717.78
  6. Step 6: Final answer
    x = 1,063.72

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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.