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Finding the Fourth Proportional to 767.90, 1,152.44 and 563.01

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Solution

The fourth proportional to 767.90, 1,152.44 and 563.01 is: 844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.90 : 1,152.44 = 563.01 : x
  2. Step 2: Convert to fraction form
    767.90/1,152.44 = 563.01/x
  3. Step 3: Cross multiply
    767.90x = 1,152.44 × 563.01
  4. Step 4: Simplify right side
    767.90x = 648,836.65
  5. Step 5: Solve for x
    x = 648,836.65/767.90
  6. Step 6: Final answer
    x = 844.95

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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.