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Finding the Fourth Proportional to 705.98, 1,059.10 and 354.61

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Solution

The fourth proportional to 705.98, 1,059.10 and 354.61 is: 531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.98 : 1,059.10 = 354.61 : x
  2. Step 2: Convert to fraction form
    705.98/1,059.10 = 354.61/x
  3. Step 3: Cross multiply
    705.98x = 1,059.10 × 354.61
  4. Step 4: Simplify right side
    705.98x = 375,567.45
  5. Step 5: Solve for x
    x = 375,567.45/705.98
  6. Step 6: Final answer
    x = 531.98

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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.