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Finding the Fourth Proportional to 424.47, 635.50 and 390.45

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Solution

The fourth proportional to 424.47, 635.50 and 390.45 is: 584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.47 : 635.50 = 390.45 : x
  2. Step 2: Convert to fraction form
    424.47/635.50 = 390.45/x
  3. Step 3: Cross multiply
    424.47x = 635.50 × 390.45
  4. Step 4: Simplify right side
    424.47x = 248,131.65
  5. Step 5: Solve for x
    x = 248,131.65/424.47
  6. Step 6: Final answer
    x = 584.56

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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.