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Finding the Fourth Proportional to 625.91, 864.06 and 405.03

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Solution

The fourth proportional to 625.91, 864.06 and 405.03 is: 559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.91 : 864.06 = 405.03 : x
  2. Step 2: Convert to fraction form
    625.91/864.06 = 405.03/x
  3. Step 3: Cross multiply
    625.91x = 864.06 × 405.03
  4. Step 4: Simplify right side
    625.91x = 349,970.22
  5. Step 5: Solve for x
    x = 349,970.22/625.91
  6. Step 6: Final answer
    x = 559.14

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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.