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Finding the Fourth Proportional to 920.88, 1,381.82 and 715.86

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Solution

The fourth proportional to 920.88, 1,381.82 and 715.86 is: 1,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.88 : 1,381.82 = 715.86 : x
  2. Step 2: Convert to fraction form
    920.88/1,381.82 = 715.86/x
  3. Step 3: Cross multiply
    920.88x = 1,381.82 × 715.86
  4. Step 4: Simplify right side
    920.88x = 989,186.09
  5. Step 5: Solve for x
    x = 989,186.09/920.88
  6. Step 6: Final answer
    x = 1,074.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.