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Finding the Fourth Proportional to 472.34, 708.47 and 289.76

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Solution

The fourth proportional to 472.34, 708.47 and 289.76 is: 434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.34 : 708.47 = 289.76 : x
  2. Step 2: Convert to fraction form
    472.34/708.47 = 289.76/x
  3. Step 3: Cross multiply
    472.34x = 708.47 × 289.76
  4. Step 4: Simplify right side
    472.34x = 205,283.45
  5. Step 5: Solve for x
    x = 205,283.45/472.34
  6. Step 6: Final answer
    x = 434.61

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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.