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Finding the Fourth Proportional to 697.11, 1,045.39 and 228.47

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Solution

The fourth proportional to 697.11, 1,045.39 and 228.47 is: 342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.11 : 1,045.39 = 228.47 : x
  2. Step 2: Convert to fraction form
    697.11/1,045.39 = 228.47/x
  3. Step 3: Cross multiply
    697.11x = 1,045.39 × 228.47
  4. Step 4: Simplify right side
    697.11x = 238,838.21
  5. Step 5: Solve for x
    x = 238,838.21/697.11
  6. Step 6: Final answer
    x = 342.61

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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.