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Finding the Fourth Proportional to 705.42, 1,062.77 and 535.50

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Solution

The fourth proportional to 705.42, 1,062.77 and 535.50 is: 806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.42 : 1,062.77 = 535.50 : x
  2. Step 2: Convert to fraction form
    705.42/1,062.77 = 535.50/x
  3. Step 3: Cross multiply
    705.42x = 1,062.77 × 535.50
  4. Step 4: Simplify right side
    705.42x = 569,110.66
  5. Step 5: Solve for x
    x = 569,110.66/705.42
  6. Step 6: Final answer
    x = 806.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.