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Finding the Fourth Proportional to 688.39, 950.45 and 492.47

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Solution

The fourth proportional to 688.39, 950.45 and 492.47 is: 679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.39 : 950.45 = 492.47 : x
  2. Step 2: Convert to fraction form
    688.39/950.45 = 492.47/x
  3. Step 3: Cross multiply
    688.39x = 950.45 × 492.47
  4. Step 4: Simplify right side
    688.39x = 468,068.11
  5. Step 5: Solve for x
    x = 468,068.11/688.39
  6. Step 6: Final answer
    x = 679.95

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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.