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Finding the Fourth Proportional to 642.63, 962.12 and 538.75

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Solution

The fourth proportional to 642.63, 962.12 and 538.75 is: 806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.63 : 962.12 = 538.75 : x
  2. Step 2: Convert to fraction form
    642.63/962.12 = 538.75/x
  3. Step 3: Cross multiply
    642.63x = 962.12 × 538.75
  4. Step 4: Simplify right side
    642.63x = 518,334.65
  5. Step 5: Solve for x
    x = 518,334.65/642.63
  6. Step 6: Final answer
    x = 806.58

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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.