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Finding the Fourth Proportional to 688.60, 950.02 and 491.77

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Solution

The fourth proportional to 688.60, 950.02 and 491.77 is: 678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.60 : 950.02 = 491.77 : x
  2. Step 2: Convert to fraction form
    688.60/950.02 = 491.77/x
  3. Step 3: Cross multiply
    688.60x = 950.02 × 491.77
  4. Step 4: Simplify right side
    688.60x = 467,191.34
  5. Step 5: Solve for x
    x = 467,191.34/688.60
  6. Step 6: Final answer
    x = 678.47

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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.