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Finding the Fourth Proportional to 1,063.76, 1,595.57 and 486.63

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Solution

The fourth proportional to 1,063.76, 1,595.57 and 486.63 is: 729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.76 : 1,595.57 = 486.63 : x
  2. Step 2: Convert to fraction form
    1,063.76/1,595.57 = 486.63/x
  3. Step 3: Cross multiply
    1,063.76x = 1,595.57 × 486.63
  4. Step 4: Simplify right side
    1,063.76x = 776,449.80
  5. Step 5: Solve for x
    x = 776,449.80/1,063.76
  6. Step 6: Final answer
    x = 729.91

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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.