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Finding the Fourth Proportional to 705.29, 1,056.11 and 486.59

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Solution

The fourth proportional to 705.29, 1,056.11 and 486.59 is: 728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.29 : 1,056.11 = 486.59 : x
  2. Step 2: Convert to fraction form
    705.29/1,056.11 = 486.59/x
  3. Step 3: Cross multiply
    705.29x = 1,056.11 × 486.59
  4. Step 4: Simplify right side
    705.29x = 513,884.85
  5. Step 5: Solve for x
    x = 513,884.85/705.29
  6. Step 6: Final answer
    x = 728.62

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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.