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Finding the Fourth Proportional to 712.91, 1,071.77 and 568.48

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Solution

The fourth proportional to 712.91, 1,071.77 and 568.48 is: 854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.91 : 1,071.77 = 568.48 : x
  2. Step 2: Convert to fraction form
    712.91/1,071.77 = 568.48/x
  3. Step 3: Cross multiply
    712.91x = 1,071.77 × 568.48
  4. Step 4: Simplify right side
    712.91x = 609,279.81
  5. Step 5: Solve for x
    x = 609,279.81/712.91
  6. Step 6: Final answer
    x = 854.64

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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.