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Finding the Fourth Proportional to 604, 833.96 and 472.76

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Solution

The fourth proportional to 604, 833.96 and 472.76 is: 652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    604 : 833.96 = 472.76 : x
  2. Step 2: Convert to fraction form
    604/833.96 = 472.76/x
  3. Step 3: Cross multiply
    604x = 833.96 × 472.76
  4. Step 4: Simplify right side
    604x = 394,262.93
  5. Step 5: Solve for x
    x = 394,262.93/604
  6. Step 6: Final answer
    x = 652.75

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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.