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Finding the Fourth Proportional to 990.72, 1,486.49 and 529.02

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Solution

The fourth proportional to 990.72, 1,486.49 and 529.02 is: 793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.72 : 1,486.49 = 529.02 : x
  2. Step 2: Convert to fraction form
    990.72/1,486.49 = 529.02/x
  3. Step 3: Cross multiply
    990.72x = 1,486.49 × 529.02
  4. Step 4: Simplify right side
    990.72x = 786,380.29
  5. Step 5: Solve for x
    x = 786,380.29/990.72
  6. Step 6: Final answer
    x = 793.75

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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.