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Finding the Fourth Proportional to 472.59, 652.05 and 306.81

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Solution

The fourth proportional to 472.59, 652.05 and 306.81 is: 423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.59 : 652.05 = 306.81 : x
  2. Step 2: Convert to fraction form
    472.59/652.05 = 306.81/x
  3. Step 3: Cross multiply
    472.59x = 652.05 × 306.81
  4. Step 4: Simplify right side
    472.59x = 200,055.46
  5. Step 5: Solve for x
    x = 200,055.46/472.59
  6. Step 6: Final answer
    x = 423.32

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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.