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Finding the Fourth Proportional to 990.41, 1,484.71 and 412.97

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Solution

The fourth proportional to 990.41, 1,484.71 and 412.97 is: 619.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.41 : 1,484.71 = 412.97 : x
  2. Step 2: Convert to fraction form
    990.41/1,484.71 = 412.97/x
  3. Step 3: Cross multiply
    990.41x = 1,484.71 × 412.97
  4. Step 4: Simplify right side
    990.41x = 613,132.23
  5. Step 5: Solve for x
    x = 613,132.23/990.41
  6. Step 6: Final answer
    x = 619.07

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1.5x scale

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.