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Finding the Fourth Proportional to 1,007.41, 1,502.74 and 990.70

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Solution

The fourth proportional to 1,007.41, 1,502.74 and 990.70 is: 1,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.41 : 1,502.74 = 990.70 : x
  2. Step 2: Convert to fraction form
    1,007.41/1,502.74 = 990.70/x
  3. Step 3: Cross multiply
    1,007.41x = 1,502.74 × 990.70
  4. Step 4: Simplify right side
    1,007.41x = 1,488,755.81
  5. Step 5: Solve for x
    x = 1,488,755.81/1,007.41
  6. Step 6: Final answer
    x = 1,477.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.