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Finding the Fourth Proportional to 424.74, 633.80 and 390.18

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Solution

The fourth proportional to 424.74, 633.80 and 390.18 is: 582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.74 : 633.80 = 390.18 : x
  2. Step 2: Convert to fraction form
    424.74/633.80 = 390.18/x
  3. Step 3: Cross multiply
    424.74x = 633.80 × 390.18
  4. Step 4: Simplify right side
    424.74x = 247,296.08
  5. Step 5: Solve for x
    x = 247,296.08/424.74
  6. Step 6: Final answer
    x = 582.23

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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.