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Finding the Fourth Proportional to 472.39, 651.90 and 324.77

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Solution

The fourth proportional to 472.39, 651.90 and 324.77 is: 448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.39 : 651.90 = 324.77 : x
  2. Step 2: Convert to fraction form
    472.39/651.90 = 324.77/x
  3. Step 3: Cross multiply
    472.39x = 651.90 × 324.77
  4. Step 4: Simplify right side
    472.39x = 211,715.93
  5. Step 5: Solve for x
    x = 211,715.93/472.39
  6. Step 6: Final answer
    x = 448.18

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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.