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Finding the Fourth Proportional to 624.24, 862.68 and 505.98

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Solution

The fourth proportional to 624.24, 862.68 and 505.98 is: 699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.24 : 862.68 = 505.98 : x
  2. Step 2: Convert to fraction form
    624.24/862.68 = 505.98/x
  3. Step 3: Cross multiply
    624.24x = 862.68 × 505.98
  4. Step 4: Simplify right side
    624.24x = 436,498.83
  5. Step 5: Solve for x
    x = 436,498.83/624.24
  6. Step 6: Final answer
    x = 699.25

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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.