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Finding the Fourth Proportional to 772.91, 1,158.54 and 522.75

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Solution

The fourth proportional to 772.91, 1,158.54 and 522.75 is: 783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.91 : 1,158.54 = 522.75 : x
  2. Step 2: Convert to fraction form
    772.91/1,158.54 = 522.75/x
  3. Step 3: Cross multiply
    772.91x = 1,158.54 × 522.75
  4. Step 4: Simplify right side
    772.91x = 605,626.79
  5. Step 5: Solve for x
    x = 605,626.79/772.91
  6. Step 6: Final answer
    x = 783.57

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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.