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Finding the Fourth Proportional to 1,095.51, 1,513.08 and 990.57

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Solution

The fourth proportional to 1,095.51, 1,513.08 and 990.57 is: 1,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.51 : 1,513.08 = 990.57 : x
  2. Step 2: Convert to fraction form
    1,095.51/1,513.08 = 990.57/x
  3. Step 3: Cross multiply
    1,095.51x = 1,513.08 × 990.57
  4. Step 4: Simplify right side
    1,095.51x = 1,498,811.66
  5. Step 5: Solve for x
    x = 1,498,811.66/1,095.51
  6. Step 6: Final answer
    x = 1,368.14

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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.