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Finding the Fourth Proportional to 1,158.03, 1,598.54 and 764.91

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Solution

The fourth proportional to 1,158.03, 1,598.54 and 764.91 is: 1,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.03 : 1,598.54 = 764.91 : x
  2. Step 2: Convert to fraction form
    1,158.03/1,598.54 = 764.91/x
  3. Step 3: Cross multiply
    1,158.03x = 1,598.54 × 764.91
  4. Step 4: Simplify right side
    1,158.03x = 1,222,735.41
  5. Step 5: Solve for x
    x = 1,222,735.41/1,158.03
  6. Step 6: Final answer
    x = 1,055.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.