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Finding the Fourth Proportional to 1,063.91, 1,596.87 and 653.84

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Solution

The fourth proportional to 1,063.91, 1,596.87 and 653.84 is: 981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.91 : 1,596.87 = 653.84 : x
  2. Step 2: Convert to fraction form
    1,063.91/1,596.87 = 653.84/x
  3. Step 3: Cross multiply
    1,063.91x = 1,596.87 × 653.84
  4. Step 4: Simplify right side
    1,063.91x = 1,044,089.50
  5. Step 5: Solve for x
    x = 1,044,089.50/1,063.91
  6. Step 6: Final answer
    x = 981.37

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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.