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Finding the Fourth Proportional to 690.98, 953.61 and 494.96

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Solution

The fourth proportional to 690.98, 953.61 and 494.96 is: 683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.98 : 953.61 = 494.96 : x
  2. Step 2: Convert to fraction form
    690.98/953.61 = 494.96/x
  3. Step 3: Cross multiply
    690.98x = 953.61 × 494.96
  4. Step 4: Simplify right side
    690.98x = 471,992.18
  5. Step 5: Solve for x
    x = 471,992.18/690.98
  6. Step 6: Final answer
    x = 683.08

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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.