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Finding the Fourth Proportional to 423.64, 631.19 and 407.93

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Solution

The fourth proportional to 423.64, 631.19 and 407.93 is: 607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.64 : 631.19 = 407.93 : x
  2. Step 2: Convert to fraction form
    423.64/631.19 = 407.93/x
  3. Step 3: Cross multiply
    423.64x = 631.19 × 407.93
  4. Step 4: Simplify right side
    423.64x = 257,481.34
  5. Step 5: Solve for x
    x = 257,481.34/423.64
  6. Step 6: Final answer
    x = 607.78

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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.