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Finding the Fourth Proportional to 1,555.87, 2,333.65 and 515.86

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Solution

The fourth proportional to 1,555.87, 2,333.65 and 515.86 is: 773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.87 : 2,333.65 = 515.86 : x
  2. Step 2: Convert to fraction form
    1,555.87/2,333.65 = 515.86/x
  3. Step 3: Cross multiply
    1,555.87x = 2,333.65 × 515.86
  4. Step 4: Simplify right side
    1,555.87x = 1,203,836.69
  5. Step 5: Solve for x
    x = 1,203,836.69/1,555.87
  6. Step 6: Final answer
    x = 773.74

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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.