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Finding the Fourth Proportional to 703.10, 1,053.12 and 579.98

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Solution

The fourth proportional to 703.10, 1,053.12 and 579.98 is: 868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.10 : 1,053.12 = 579.98 : x
  2. Step 2: Convert to fraction form
    703.10/1,053.12 = 579.98/x
  3. Step 3: Cross multiply
    703.10x = 1,053.12 × 579.98
  4. Step 4: Simplify right side
    703.10x = 610,788.54
  5. Step 5: Solve for x
    x = 610,788.54/703.10
  6. Step 6: Final answer
    x = 868.71

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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.