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Finding the Fourth Proportional to 624.32, 860.85 and 586.65

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Solution

The fourth proportional to 624.32, 860.85 and 586.65 is: 808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.32 : 860.85 = 586.65 : x
  2. Step 2: Convert to fraction form
    624.32/860.85 = 586.65/x
  3. Step 3: Cross multiply
    624.32x = 860.85 × 586.65
  4. Step 4: Simplify right side
    624.32x = 505,017.65
  5. Step 5: Solve for x
    x = 505,017.65/624.32
  6. Step 6: Final answer
    x = 808.91

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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.