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Finding the Fourth Proportional to 470.40, 706.22 and 362.28

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Solution

The fourth proportional to 470.40, 706.22 and 362.28 is: 543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.40 : 706.22 = 362.28 : x
  2. Step 2: Convert to fraction form
    470.40/706.22 = 362.28/x
  3. Step 3: Cross multiply
    470.40x = 706.22 × 362.28
  4. Step 4: Simplify right side
    470.40x = 255,849.38
  5. Step 5: Solve for x
    x = 255,849.38/470.40
  6. Step 6: Final answer
    x = 543.90

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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.