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Finding the Fourth Proportional to 768.84, 1,149.33 and 573.72

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Solution

The fourth proportional to 768.84, 1,149.33 and 573.72 is: 857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.84 : 1,149.33 = 573.72 : x
  2. Step 2: Convert to fraction form
    768.84/1,149.33 = 573.72/x
  3. Step 3: Cross multiply
    768.84x = 1,149.33 × 573.72
  4. Step 4: Simplify right side
    768.84x = 659,393.61
  5. Step 5: Solve for x
    x = 659,393.61/768.84
  6. Step 6: Final answer
    x = 857.65

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1.5x scale

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.