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Finding the Fourth Proportional to 1,285.42, 1,774.56 and 990.04

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Solution

The fourth proportional to 1,285.42, 1,774.56 and 990.04 is: 1,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.42 : 1,774.56 = 990.04 : x
  2. Step 2: Convert to fraction form
    1,285.42/1,774.56 = 990.04/x
  3. Step 3: Cross multiply
    1,285.42x = 1,774.56 × 990.04
  4. Step 4: Simplify right side
    1,285.42x = 1,756,885.38
  5. Step 5: Solve for x
    x = 1,756,885.38/1,285.42
  6. Step 6: Final answer
    x = 1,366.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.