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Finding the Fourth Proportional to 690.19, 950.96 and 468.74

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Solution

The fourth proportional to 690.19, 950.96 and 468.74 is: 645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.19 : 950.96 = 468.74 : x
  2. Step 2: Convert to fraction form
    690.19/950.96 = 468.74/x
  3. Step 3: Cross multiply
    690.19x = 950.96 × 468.74
  4. Step 4: Simplify right side
    690.19x = 445,756.54
  5. Step 5: Solve for x
    x = 445,756.54/690.19
  6. Step 6: Final answer
    x = 645.85

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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.