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Finding the Fourth Proportional to 475.65, 709.65 and 423.68

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Solution

The fourth proportional to 475.65, 709.65 and 423.68 is: 632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.65 : 709.65 = 423.68 : x
  2. Step 2: Convert to fraction form
    475.65/709.65 = 423.68/x
  3. Step 3: Cross multiply
    475.65x = 709.65 × 423.68
  4. Step 4: Simplify right side
    475.65x = 300,664.51
  5. Step 5: Solve for x
    x = 300,664.51/475.65
  6. Step 6: Final answer
    x = 632.11

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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.