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Finding the Fourth Proportional to 625.24, 860.68 and 459.16

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Solution

The fourth proportional to 625.24, 860.68 and 459.16 is: 632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.24 : 860.68 = 459.16 : x
  2. Step 2: Convert to fraction form
    625.24/860.68 = 459.16/x
  3. Step 3: Cross multiply
    625.24x = 860.68 × 459.16
  4. Step 4: Simplify right side
    625.24x = 395,189.83
  5. Step 5: Solve for x
    x = 395,189.83/625.24
  6. Step 6: Final answer
    x = 632.06

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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.