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Finding the Fourth Proportional to 1,140.94, 1,710.94 and 410.26

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Solution

The fourth proportional to 1,140.94, 1,710.94 and 410.26 is: 615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.94 : 1,710.94 = 410.26 : x
  2. Step 2: Convert to fraction form
    1,140.94/1,710.94 = 410.26/x
  3. Step 3: Cross multiply
    1,140.94x = 1,710.94 × 410.26
  4. Step 4: Simplify right side
    1,140.94x = 701,930.24
  5. Step 5: Solve for x
    x = 701,930.24/1,140.94
  6. Step 6: Final answer
    x = 615.22

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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.