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Finding the Fourth Proportional to 459.64, 686.06 and 423.03

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Solution

The fourth proportional to 459.64, 686.06 and 423.03 is: 631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.64 : 686.06 = 423.03 : x
  2. Step 2: Convert to fraction form
    459.64/686.06 = 423.03/x
  3. Step 3: Cross multiply
    459.64x = 686.06 × 423.03
  4. Step 4: Simplify right side
    459.64x = 290,223.96
  5. Step 5: Solve for x
    x = 290,223.96/459.64
  6. Step 6: Final answer
    x = 631.42

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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.