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Finding the Fourth Proportional to 705.93, 1,059.50 and 511.53

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Solution

The fourth proportional to 705.93, 1,059.50 and 511.53 is: 767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.93 : 1,059.50 = 511.53 : x
  2. Step 2: Convert to fraction form
    705.93/1,059.50 = 511.53/x
  3. Step 3: Cross multiply
    705.93x = 1,059.50 × 511.53
  4. Step 4: Simplify right side
    705.93x = 541,966.04
  5. Step 5: Solve for x
    x = 541,966.04/705.93
  6. Step 6: Final answer
    x = 767.73

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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.