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Finding the Fourth Proportional to 1,065.41, 1,596.76 and 479.78

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Solution

The fourth proportional to 1,065.41, 1,596.76 and 479.78 is: 719.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.41 : 1,596.76 = 479.78 : x
  2. Step 2: Convert to fraction form
    1,065.41/1,596.76 = 479.78/x
  3. Step 3: Cross multiply
    1,065.41x = 1,596.76 × 479.78
  4. Step 4: Simplify right side
    1,065.41x = 766,091.11
  5. Step 5: Solve for x
    x = 766,091.11/1,065.41
  6. Step 6: Final answer
    x = 719.06

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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.