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Finding the Fourth Proportional to 768.77, 1,153.57 and 587.33

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Solution

The fourth proportional to 768.77, 1,153.57 and 587.33 is: 881.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.77 : 1,153.57 = 587.33 : x
  2. Step 2: Convert to fraction form
    768.77/1,153.57 = 587.33/x
  3. Step 3: Cross multiply
    768.77x = 1,153.57 × 587.33
  4. Step 4: Simplify right side
    768.77x = 677,526.27
  5. Step 5: Solve for x
    x = 677,526.27/768.77
  6. Step 6: Final answer
    x = 881.31

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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.