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Finding the Fourth Proportional to 705.57, 1,059.10 and 577.05

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Solution

The fourth proportional to 705.57, 1,059.10 and 577.05 is: 866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.57 : 1,059.10 = 577.05 : x
  2. Step 2: Convert to fraction form
    705.57/1,059.10 = 577.05/x
  3. Step 3: Cross multiply
    705.57x = 1,059.10 × 577.05
  4. Step 4: Simplify right side
    705.57x = 611,153.66
  5. Step 5: Solve for x
    x = 611,153.66/705.57
  6. Step 6: Final answer
    x = 866.18

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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.