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Finding the Fourth Proportional to 472.23, 709.02 and 289.07

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Solution

The fourth proportional to 472.23, 709.02 and 289.07 is: 434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.23 : 709.02 = 289.07 : x
  2. Step 2: Convert to fraction form
    472.23/709.02 = 289.07/x
  3. Step 3: Cross multiply
    472.23x = 709.02 × 289.07
  4. Step 4: Simplify right side
    472.23x = 204,955.53
  5. Step 5: Solve for x
    x = 204,955.53/472.23
  6. Step 6: Final answer
    x = 434.02

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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.