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Finding the Fourth Proportional to 717.20, 1,075.76 and 332.72

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Solution

The fourth proportional to 717.20, 1,075.76 and 332.72 is: 499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.20 : 1,075.76 = 332.72 : x
  2. Step 2: Convert to fraction form
    717.20/1,075.76 = 332.72/x
  3. Step 3: Cross multiply
    717.20x = 1,075.76 × 332.72
  4. Step 4: Simplify right side
    717.20x = 357,926.87
  5. Step 5: Solve for x
    x = 357,926.87/717.20
  6. Step 6: Final answer
    x = 499.06

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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.