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Finding the Fourth Proportional to 690.86, 954.99 and 496.05

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Solution

The fourth proportional to 690.86, 954.99 and 496.05 is: 685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.86 : 954.99 = 496.05 : x
  2. Step 2: Convert to fraction form
    690.86/954.99 = 496.05/x
  3. Step 3: Cross multiply
    690.86x = 954.99 × 496.05
  4. Step 4: Simplify right side
    690.86x = 473,722.79
  5. Step 5: Solve for x
    x = 473,722.79/690.86
  6. Step 6: Final answer
    x = 685.71

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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.