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Finding the Fourth Proportional to 688.09, 948.75 and 501.66

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Solution

The fourth proportional to 688.09, 948.75 and 501.66 is: 691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.09 : 948.75 = 501.66 : x
  2. Step 2: Convert to fraction form
    688.09/948.75 = 501.66/x
  3. Step 3: Cross multiply
    688.09x = 948.75 × 501.66
  4. Step 4: Simplify right side
    688.09x = 475,949.93
  5. Step 5: Solve for x
    x = 475,949.93/688.09
  6. Step 6: Final answer
    x = 691.70

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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.