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Finding the Fourth Proportional to 433.68, 646.14 and 423.96

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Solution

The fourth proportional to 433.68, 646.14 and 423.96 is: 631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.68 : 646.14 = 423.96 : x
  2. Step 2: Convert to fraction form
    433.68/646.14 = 423.96/x
  3. Step 3: Cross multiply
    433.68x = 646.14 × 423.96
  4. Step 4: Simplify right side
    433.68x = 273,937.51
  5. Step 5: Solve for x
    x = 273,937.51/433.68
  6. Step 6: Final answer
    x = 631.66

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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.