Home / 1,140.16-1,710.30-409.54

Finding the Fourth Proportional to 1,140.16, 1,710.30 and 409.54

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Solution

The fourth proportional to 1,140.16, 1,710.30 and 409.54 is: 614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.16 : 1,710.30 = 409.54 : x
  2. Step 2: Convert to fraction form
    1,140.16/1,710.30 = 409.54/x
  3. Step 3: Cross multiply
    1,140.16x = 1,710.30 × 409.54
  4. Step 4: Simplify right side
    1,140.16x = 700,436.26
  5. Step 5: Solve for x
    x = 700,436.26/1,140.16
  6. Step 6: Final answer
    x = 614.33

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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.