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Finding the Fourth Proportional to 625.24, 864.06 and 506.98

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Solution

The fourth proportional to 625.24, 864.06 and 506.98 is: 700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.24 : 864.06 = 506.98 : x
  2. Step 2: Convert to fraction form
    625.24/864.06 = 506.98/x
  3. Step 3: Cross multiply
    625.24x = 864.06 × 506.98
  4. Step 4: Simplify right side
    625.24x = 438,061.14
  5. Step 5: Solve for x
    x = 438,061.14/625.24
  6. Step 6: Final answer
    x = 700.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.