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Finding the Fourth Proportional to 423.40, 634.93 and 286.51

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Solution

The fourth proportional to 423.40, 634.93 and 286.51 is: 429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.40 : 634.93 = 286.51 : x
  2. Step 2: Convert to fraction form
    423.40/634.93 = 286.51/x
  3. Step 3: Cross multiply
    423.40x = 634.93 × 286.51
  4. Step 4: Simplify right side
    423.40x = 181,913.79
  5. Step 5: Solve for x
    x = 181,913.79/423.40
  6. Step 6: Final answer
    x = 429.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.