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Finding the Fourth Proportional to 423.52, 584.36 and 407.12

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Solution

The fourth proportional to 423.52, 584.36 and 407.12 is: 561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.52 : 584.36 = 407.12 : x
  2. Step 2: Convert to fraction form
    423.52/584.36 = 407.12/x
  3. Step 3: Cross multiply
    423.52x = 584.36 × 407.12
  4. Step 4: Simplify right side
    423.52x = 237,904.64
  5. Step 5: Solve for x
    x = 237,904.64/423.52
  6. Step 6: Final answer
    x = 561.73

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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.