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Finding the Fourth Proportional to 423.02, 631.57 and 398.45

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Solution

The fourth proportional to 423.02, 631.57 and 398.45 is: 594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.02 : 631.57 = 398.45 : x
  2. Step 2: Convert to fraction form
    423.02/631.57 = 398.45/x
  3. Step 3: Cross multiply
    423.02x = 631.57 × 398.45
  4. Step 4: Simplify right side
    423.02x = 251,649.07
  5. Step 5: Solve for x
    x = 251,649.07/423.02
  6. Step 6: Final answer
    x = 594.89

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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.