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Finding the Fourth Proportional to 690.17, 952.43 and 491.31

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Solution

The fourth proportional to 690.17, 952.43 and 491.31 is: 678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.17 : 952.43 = 491.31 : x
  2. Step 2: Convert to fraction form
    690.17/952.43 = 491.31/x
  3. Step 3: Cross multiply
    690.17x = 952.43 × 491.31
  4. Step 4: Simplify right side
    690.17x = 467,935.93
  5. Step 5: Solve for x
    x = 467,935.93/690.17
  6. Step 6: Final answer
    x = 678.01

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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.