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Finding the Fourth Proportional to 658.51, 909.21 and 423.06

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Solution

The fourth proportional to 658.51, 909.21 and 423.06 is: 584.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.51 : 909.21 = 423.06 : x
  2. Step 2: Convert to fraction form
    658.51/909.21 = 423.06/x
  3. Step 3: Cross multiply
    658.51x = 909.21 × 423.06
  4. Step 4: Simplify right side
    658.51x = 384,650.38
  5. Step 5: Solve for x
    x = 384,650.38/658.51
  6. Step 6: Final answer
    x = 584.12

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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.