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Finding the Fourth Proportional to 1,575.49, 2,363.69 and 651.79

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Solution

The fourth proportional to 1,575.49, 2,363.69 and 651.79 is: 977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.49 : 2,363.69 = 651.79 : x
  2. Step 2: Convert to fraction form
    1,575.49/2,363.69 = 651.79/x
  3. Step 3: Cross multiply
    1,575.49x = 2,363.69 × 651.79
  4. Step 4: Simplify right side
    1,575.49x = 1,540,629.51
  5. Step 5: Solve for x
    x = 1,540,629.51/1,575.49
  6. Step 6: Final answer
    x = 977.87

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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.