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Finding the Fourth Proportional to 1,130.71, 1,696.28 and 514.71

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Solution

The fourth proportional to 1,130.71, 1,696.28 and 514.71 is: 772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.71 : 1,696.28 = 514.71 : x
  2. Step 2: Convert to fraction form
    1,130.71/1,696.28 = 514.71/x
  3. Step 3: Cross multiply
    1,130.71x = 1,696.28 × 514.71
  4. Step 4: Simplify right side
    1,130.71x = 873,092.28
  5. Step 5: Solve for x
    x = 873,092.28/1,130.71
  6. Step 6: Final answer
    x = 772.16

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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.