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Finding the Fourth Proportional to 464.65, 641.13 and 315.40

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Solution

The fourth proportional to 464.65, 641.13 and 315.40 is: 435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.65 : 641.13 = 315.40 : x
  2. Step 2: Convert to fraction form
    464.65/641.13 = 315.40/x
  3. Step 3: Cross multiply
    464.65x = 641.13 × 315.40
  4. Step 4: Simplify right side
    464.65x = 202,210.68
  5. Step 5: Solve for x
    x = 202,210.68/464.65
  6. Step 6: Final answer
    x = 435.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.