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Finding the Fourth Proportional to 690.86, 953.41 and 425.21

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Solution

The fourth proportional to 690.86, 953.41 and 425.21 is: 586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.86 : 953.41 = 425.21 : x
  2. Step 2: Convert to fraction form
    690.86/953.41 = 425.21/x
  3. Step 3: Cross multiply
    690.86x = 953.41 × 425.21
  4. Step 4: Simplify right side
    690.86x = 405,392.57
  5. Step 5: Solve for x
    x = 405,392.57/690.86
  6. Step 6: Final answer
    x = 586.79

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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.