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Finding the Fourth Proportional to 578.50, 864.06 and 523.57

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Solution

The fourth proportional to 578.50, 864.06 and 523.57 is: 782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.50 : 864.06 = 523.57 : x
  2. Step 2: Convert to fraction form
    578.50/864.06 = 523.57/x
  3. Step 3: Cross multiply
    578.50x = 864.06 × 523.57
  4. Step 4: Simplify right side
    578.50x = 452,393.28
  5. Step 5: Solve for x
    x = 452,393.28/578.50
  6. Step 6: Final answer
    x = 782.01

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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.