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Finding the Fourth Proportional to 468.28, 642.71 and 429.40

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Solution

The fourth proportional to 468.28, 642.71 and 429.40 is: 589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.28 : 642.71 = 429.40 : x
  2. Step 2: Convert to fraction form
    468.28/642.71 = 429.40/x
  3. Step 3: Cross multiply
    468.28x = 642.71 × 429.40
  4. Step 4: Simplify right side
    468.28x = 275,979.67
  5. Step 5: Solve for x
    x = 275,979.67/468.28
  6. Step 6: Final answer
    x = 589.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.