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Finding the Fourth Proportional to 472.16, 706.88 and 289.01

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Solution

The fourth proportional to 472.16, 706.88 and 289.01 is: 432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.16 : 706.88 = 289.01 : x
  2. Step 2: Convert to fraction form
    472.16/706.88 = 289.01/x
  3. Step 3: Cross multiply
    472.16x = 706.88 × 289.01
  4. Step 4: Simplify right side
    472.16x = 204,290.41
  5. Step 5: Solve for x
    x = 204,290.41/472.16
  6. Step 6: Final answer
    x = 432.68

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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.