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Finding the Fourth Proportional to 423.08, 584 and 409.40

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Solution

The fourth proportional to 423.08, 584 and 409.40 is: 565.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.08 : 584 = 409.40 : x
  2. Step 2: Convert to fraction form
    423.08/584 = 409.40/x
  3. Step 3: Cross multiply
    423.08x = 584 × 409.40
  4. Step 4: Simplify right side
    423.08x = 239,089.60
  5. Step 5: Solve for x
    x = 239,089.60/423.08
  6. Step 6: Final answer
    x = 565.12

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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.