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Finding the Fourth Proportional to 992.59, 1,485.79 and 732.88

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Solution

The fourth proportional to 992.59, 1,485.79 and 732.88 is: 1,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.59 : 1,485.79 = 732.88 : x
  2. Step 2: Convert to fraction form
    992.59/1,485.79 = 732.88/x
  3. Step 3: Cross multiply
    992.59x = 1,485.79 × 732.88
  4. Step 4: Simplify right side
    992.59x = 1,088,900.18
  5. Step 5: Solve for x
    x = 1,088,900.18/992.59
  6. Step 6: Final answer
    x = 1,097.03

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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.