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Finding the Fourth Proportional to 423.52, 631.29 and 405.07

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Solution

The fourth proportional to 423.52, 631.29 and 405.07 is: 603.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.52 : 631.29 = 405.07 : x
  2. Step 2: Convert to fraction form
    423.52/631.29 = 405.07/x
  3. Step 3: Cross multiply
    423.52x = 631.29 × 405.07
  4. Step 4: Simplify right side
    423.52x = 255,716.64
  5. Step 5: Solve for x
    x = 255,716.64/423.52
  6. Step 6: Final answer
    x = 603.79

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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.