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Finding the Fourth Proportional to 465.94, 642.68 and 390.02

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Solution

The fourth proportional to 465.94, 642.68 and 390.02 is: 537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.94 : 642.68 = 390.02 : x
  2. Step 2: Convert to fraction form
    465.94/642.68 = 390.02/x
  3. Step 3: Cross multiply
    465.94x = 642.68 × 390.02
  4. Step 4: Simplify right side
    465.94x = 250,658.05
  5. Step 5: Solve for x
    x = 250,658.05/465.94
  6. Step 6: Final answer
    x = 537.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.