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Finding the Fourth Proportional to 886.15, 1,327.47 and 416.98

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Solution

The fourth proportional to 886.15, 1,327.47 and 416.98 is: 624.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.15 : 1,327.47 = 416.98 : x
  2. Step 2: Convert to fraction form
    886.15/1,327.47 = 416.98/x
  3. Step 3: Cross multiply
    886.15x = 1,327.47 × 416.98
  4. Step 4: Simplify right side
    886.15x = 553,528.54
  5. Step 5: Solve for x
    x = 553,528.54/886.15
  6. Step 6: Final answer
    x = 624.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.