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Finding the Fourth Proportional to 423.24, 631.64 and 412.30

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Solution

The fourth proportional to 423.24, 631.64 and 412.30 is: 615.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.24 : 631.64 = 412.30 : x
  2. Step 2: Convert to fraction form
    423.24/631.64 = 412.30/x
  3. Step 3: Cross multiply
    423.24x = 631.64 × 412.30
  4. Step 4: Simplify right side
    423.24x = 260,425.17
  5. Step 5: Solve for x
    x = 260,425.17/423.24
  6. Step 6: Final answer
    x = 615.31

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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.