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Finding the Fourth Proportional to 688.95, 950.76 and 419.76

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Solution

The fourth proportional to 688.95, 950.76 and 419.76 is: 579.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.95 : 950.76 = 419.76 : x
  2. Step 2: Convert to fraction form
    688.95/950.76 = 419.76/x
  3. Step 3: Cross multiply
    688.95x = 950.76 × 419.76
  4. Step 4: Simplify right side
    688.95x = 399,091.02
  5. Step 5: Solve for x
    x = 399,091.02/688.95
  6. Step 6: Final answer
    x = 579.27

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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.