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Finding the Fourth Proportional to 776.68, 1,068.87 and 587.14

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Solution

The fourth proportional to 776.68, 1,068.87 and 587.14 is: 808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.68 : 1,068.87 = 587.14 : x
  2. Step 2: Convert to fraction form
    776.68/1,068.87 = 587.14/x
  3. Step 3: Cross multiply
    776.68x = 1,068.87 × 587.14
  4. Step 4: Simplify right side
    776.68x = 627,576.33
  5. Step 5: Solve for x
    x = 627,576.33/776.68
  6. Step 6: Final answer
    x = 808.02

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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.