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Finding the Fourth Proportional to 1,049.37, 1,579.35 and 790.71

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Solution

The fourth proportional to 1,049.37, 1,579.35 and 790.71 is: 1,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.37 : 1,579.35 = 790.71 : x
  2. Step 2: Convert to fraction form
    1,049.37/1,579.35 = 790.71/x
  3. Step 3: Cross multiply
    1,049.37x = 1,579.35 × 790.71
  4. Step 4: Simplify right side
    1,049.37x = 1,248,807.84
  5. Step 5: Solve for x
    x = 1,248,807.84/1,049.37
  6. Step 6: Final answer
    x = 1,190.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.