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Finding the Fourth Proportional to 1,648.76, 2,470.95 and 990.23

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Solution

The fourth proportional to 1,648.76, 2,470.95 and 990.23 is: 1,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.76 : 2,470.95 = 990.23 : x
  2. Step 2: Convert to fraction form
    1,648.76/2,470.95 = 990.23/x
  3. Step 3: Cross multiply
    1,648.76x = 2,470.95 × 990.23
  4. Step 4: Simplify right side
    1,648.76x = 2,446,796.46
  5. Step 5: Solve for x
    x = 2,446,796.46/1,648.76
  6. Step 6: Final answer
    x = 1,484.03

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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.