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Finding the Fourth Proportional to 470.17, 704.85 and 435.61

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Solution

The fourth proportional to 470.17, 704.85 and 435.61 is: 653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.17 : 704.85 = 435.61 : x
  2. Step 2: Convert to fraction form
    470.17/704.85 = 435.61/x
  3. Step 3: Cross multiply
    470.17x = 704.85 × 435.61
  4. Step 4: Simplify right side
    470.17x = 307,039.71
  5. Step 5: Solve for x
    x = 307,039.71/470.17
  6. Step 6: Final answer
    x = 653.04

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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.