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Finding the Fourth Proportional to 654.50, 900.33 and 627.86

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Solution

The fourth proportional to 654.50, 900.33 and 627.86 is: 863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.50 : 900.33 = 627.86 : x
  2. Step 2: Convert to fraction form
    654.50/900.33 = 627.86/x
  3. Step 3: Cross multiply
    654.50x = 900.33 × 627.86
  4. Step 4: Simplify right side
    654.50x = 565,281.19
  5. Step 5: Solve for x
    x = 565,281.19/654.50
  6. Step 6: Final answer
    x = 863.68

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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.