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Finding the Fourth Proportional to 472.57, 708.72 and 290.05

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Solution

The fourth proportional to 472.57, 708.72 and 290.05 is: 434.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.57 : 708.72 = 290.05 : x
  2. Step 2: Convert to fraction form
    472.57/708.72 = 290.05/x
  3. Step 3: Cross multiply
    472.57x = 708.72 × 290.05
  4. Step 4: Simplify right side
    472.57x = 205,564.24
  5. Step 5: Solve for x
    x = 205,564.24/472.57
  6. Step 6: Final answer
    x = 434.99

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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.