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Finding the Fourth Proportional to 990.95, 1,485.96 and 471.54

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Solution

The fourth proportional to 990.95, 1,485.96 and 471.54 is: 707.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.95 : 1,485.96 = 471.54 : x
  2. Step 2: Convert to fraction form
    990.95/1,485.96 = 471.54/x
  3. Step 3: Cross multiply
    990.95x = 1,485.96 × 471.54
  4. Step 4: Simplify right side
    990.95x = 700,689.58
  5. Step 5: Solve for x
    x = 700,689.58/990.95
  6. Step 6: Final answer
    x = 707.09

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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.