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Finding the Fourth Proportional to 717.76, 1,072.68 and 533.08

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Solution

The fourth proportional to 717.76, 1,072.68 and 533.08 is: 796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.76 : 1,072.68 = 533.08 : x
  2. Step 2: Convert to fraction form
    717.76/1,072.68 = 533.08/x
  3. Step 3: Cross multiply
    717.76x = 1,072.68 × 533.08
  4. Step 4: Simplify right side
    717.76x = 571,823.60
  5. Step 5: Solve for x
    x = 571,823.60/717.76
  6. Step 6: Final answer
    x = 796.68

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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.