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Finding the Fourth Proportional to 713.23, 1,069.84 and 569.86

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Solution

The fourth proportional to 713.23, 1,069.84 and 569.86 is: 854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.23 : 1,069.84 = 569.86 : x
  2. Step 2: Convert to fraction form
    713.23/1,069.84 = 569.86/x
  3. Step 3: Cross multiply
    713.23x = 1,069.84 × 569.86
  4. Step 4: Simplify right side
    713.23x = 609,659.02
  5. Step 5: Solve for x
    x = 609,659.02/713.23
  6. Step 6: Final answer
    x = 854.79

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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.