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Finding the Fourth Proportional to 776.26, 1,071.45 and 500.74

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Solution

The fourth proportional to 776.26, 1,071.45 and 500.74 is: 691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.26 : 1,071.45 = 500.74 : x
  2. Step 2: Convert to fraction form
    776.26/1,071.45 = 500.74/x
  3. Step 3: Cross multiply
    776.26x = 1,071.45 × 500.74
  4. Step 4: Simplify right side
    776.26x = 536,517.87
  5. Step 5: Solve for x
    x = 536,517.87/776.26
  6. Step 6: Final answer
    x = 691.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.