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Finding the Fourth Proportional to 992.80, 1,487.60 and 505.12

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Solution

The fourth proportional to 992.80, 1,487.60 and 505.12 is: 756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.80 : 1,487.60 = 505.12 : x
  2. Step 2: Convert to fraction form
    992.80/1,487.60 = 505.12/x
  3. Step 3: Cross multiply
    992.80x = 1,487.60 × 505.12
  4. Step 4: Simplify right side
    992.80x = 751,416.51
  5. Step 5: Solve for x
    x = 751,416.51/992.80
  6. Step 6: Final answer
    x = 756.87

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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.