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Finding the Fourth Proportional to 690.86, 958.32 and 653.96

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Solution

The fourth proportional to 690.86, 958.32 and 653.96 is: 907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.86 : 958.32 = 653.96 : x
  2. Step 2: Convert to fraction form
    690.86/958.32 = 653.96/x
  3. Step 3: Cross multiply
    690.86x = 958.32 × 653.96
  4. Step 4: Simplify right side
    690.86x = 626,698.16
  5. Step 5: Solve for x
    x = 626,698.16/690.86
  6. Step 6: Final answer
    x = 907.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.