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Finding the Fourth Proportional to 699.76, 1,050.14 and 517.59

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Solution

The fourth proportional to 699.76, 1,050.14 and 517.59 is: 776.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.76 : 1,050.14 = 517.59 : x
  2. Step 2: Convert to fraction form
    699.76/1,050.14 = 517.59/x
  3. Step 3: Cross multiply
    699.76x = 1,050.14 × 517.59
  4. Step 4: Simplify right side
    699.76x = 543,541.80
  5. Step 5: Solve for x
    x = 543,541.80/699.76
  6. Step 6: Final answer
    x = 776.75

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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.