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Finding the Fourth Proportional to 688.72, 1,032.34 and 255.64

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Solution

The fourth proportional to 688.72, 1,032.34 and 255.64 is: 383.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.72 : 1,032.34 = 255.64 : x
  2. Step 2: Convert to fraction form
    688.72/1,032.34 = 255.64/x
  3. Step 3: Cross multiply
    688.72x = 1,032.34 × 255.64
  4. Step 4: Simplify right side
    688.72x = 263,907.40
  5. Step 5: Solve for x
    x = 263,907.40/688.72
  6. Step 6: Final answer
    x = 383.19

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