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Finding the Fourth Proportional to 475.62, 708.03 and 470.35

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Solution

The fourth proportional to 475.62, 708.03 and 470.35 is: 700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.62 : 708.03 = 470.35 : x
  2. Step 2: Convert to fraction form
    475.62/708.03 = 470.35/x
  3. Step 3: Cross multiply
    475.62x = 708.03 × 470.35
  4. Step 4: Simplify right side
    475.62x = 333,021.91
  5. Step 5: Solve for x
    x = 333,021.91/475.62
  6. Step 6: Final answer
    x = 700.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.