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Finding the Fourth Proportional to 690.89, 1,036.50 and 228.72

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Solution

The fourth proportional to 690.89, 1,036.50 and 228.72 is: 343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.89 : 1,036.50 = 228.72 : x
  2. Step 2: Convert to fraction form
    690.89/1,036.50 = 228.72/x
  3. Step 3: Cross multiply
    690.89x = 1,036.50 × 228.72
  4. Step 4: Simplify right side
    690.89x = 237,067.14
  5. Step 5: Solve for x
    x = 237,067.14/690.89
  6. Step 6: Final answer
    x = 343.13

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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.