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Finding the Fourth Proportional to 470.64, 706.98 and 288.15

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Solution

The fourth proportional to 470.64, 706.98 and 288.15 is: 432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.64 : 706.98 = 288.15 : x
  2. Step 2: Convert to fraction form
    470.64/706.98 = 288.15/x
  3. Step 3: Cross multiply
    470.64x = 706.98 × 288.15
  4. Step 4: Simplify right side
    470.64x = 203,716.29
  5. Step 5: Solve for x
    x = 203,716.29/470.64
  6. Step 6: Final answer
    x = 432.85

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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.