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Finding the Fourth Proportional to 896.19, 1,344.27 and 715.77

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Solution

The fourth proportional to 896.19, 1,344.27 and 715.77 is: 1,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.19 : 1,344.27 = 715.77 : x
  2. Step 2: Convert to fraction form
    896.19/1,344.27 = 715.77/x
  3. Step 3: Cross multiply
    896.19x = 1,344.27 × 715.77
  4. Step 4: Simplify right side
    896.19x = 962,188.14
  5. Step 5: Solve for x
    x = 962,188.14/896.19
  6. Step 6: Final answer
    x = 1,073.64

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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.