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Finding the Fourth Proportional to 423.65, 632.18 and 419.54

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Solution

The fourth proportional to 423.65, 632.18 and 419.54 is: 626.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.65 : 632.18 = 419.54 : x
  2. Step 2: Convert to fraction form
    423.65/632.18 = 419.54/x
  3. Step 3: Cross multiply
    423.65x = 632.18 × 419.54
  4. Step 4: Simplify right side
    423.65x = 265,222.69
  5. Step 5: Solve for x
    x = 265,222.69/423.65
  6. Step 6: Final answer
    x = 626.04

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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.