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Finding the Fourth Proportional to 1,557.39, 2,335.83 and 517.41

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Solution

The fourth proportional to 1,557.39, 2,335.83 and 517.41 is: 776.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.39 : 2,335.83 = 517.41 : x
  2. Step 2: Convert to fraction form
    1,557.39/2,335.83 = 517.41/x
  3. Step 3: Cross multiply
    1,557.39x = 2,335.83 × 517.41
  4. Step 4: Simplify right side
    1,557.39x = 1,208,581.80
  5. Step 5: Solve for x
    x = 1,208,581.80/1,557.39
  6. Step 6: Final answer
    x = 776.03

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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.