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Finding the Fourth Proportional to 990.98, 1,486.43 and 471.35

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Solution

The fourth proportional to 990.98, 1,486.43 and 471.35 is: 707.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.98 : 1,486.43 = 471.35 : x
  2. Step 2: Convert to fraction form
    990.98/1,486.43 = 471.35/x
  3. Step 3: Cross multiply
    990.98x = 1,486.43 × 471.35
  4. Step 4: Simplify right side
    990.98x = 700,628.78
  5. Step 5: Solve for x
    x = 700,628.78/990.98
  6. Step 6: Final answer
    x = 707.01

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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.