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Finding the Fourth Proportional to 999.43, 1,378.59 and 715.32

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Solution

The fourth proportional to 999.43, 1,378.59 and 715.32 is: 986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.43 : 1,378.59 = 715.32 : x
  2. Step 2: Convert to fraction form
    999.43/1,378.59 = 715.32/x
  3. Step 3: Cross multiply
    999.43x = 1,378.59 × 715.32
  4. Step 4: Simplify right side
    999.43x = 986,133.00
  5. Step 5: Solve for x
    x = 986,133.00/999.43
  6. Step 6: Final answer
    x = 986.70

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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.