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Finding the Fourth Proportional to 690.85, 953.67 and 494.02

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Solution

The fourth proportional to 690.85, 953.67 and 494.02 is: 681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.85 : 953.67 = 494.02 : x
  2. Step 2: Convert to fraction form
    690.85/953.67 = 494.02/x
  3. Step 3: Cross multiply
    690.85x = 953.67 × 494.02
  4. Step 4: Simplify right side
    690.85x = 471,132.05
  5. Step 5: Solve for x
    x = 471,132.05/690.85
  6. Step 6: Final answer
    x = 681.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.