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Finding the Fourth Proportional to 424.18, 584.19 and 409.18

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Solution

The fourth proportional to 424.18, 584.19 and 409.18 is: 563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.18 : 584.19 = 409.18 : x
  2. Step 2: Convert to fraction form
    424.18/584.19 = 409.18/x
  3. Step 3: Cross multiply
    424.18x = 584.19 × 409.18
  4. Step 4: Simplify right side
    424.18x = 239,038.86
  5. Step 5: Solve for x
    x = 239,038.86/424.18
  6. Step 6: Final answer
    x = 563.53

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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.