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Finding the Fourth Proportional to 991.64, 1,488.39 and 505.06

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Solution

The fourth proportional to 991.64, 1,488.39 and 505.06 is: 758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.64 : 1,488.39 = 505.06 : x
  2. Step 2: Convert to fraction form
    991.64/1,488.39 = 505.06/x
  3. Step 3: Cross multiply
    991.64x = 1,488.39 × 505.06
  4. Step 4: Simplify right side
    991.64x = 751,716.29
  5. Step 5: Solve for x
    x = 751,716.29/991.64
  6. Step 6: Final answer
    x = 758.05

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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.