Home / 1,140.18-1,710.47-409.83

Finding the Fourth Proportional to 1,140.18, 1,710.47 and 409.83

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Solution

The fourth proportional to 1,140.18, 1,710.47 and 409.83 is: 614.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.18 : 1,710.47 = 409.83 : x
  2. Step 2: Convert to fraction form
    1,140.18/1,710.47 = 409.83/x
  3. Step 3: Cross multiply
    1,140.18x = 1,710.47 × 409.83
  4. Step 4: Simplify right side
    1,140.18x = 700,999.87
  5. Step 5: Solve for x
    x = 700,999.87/1,140.18
  6. Step 6: Final answer
    x = 614.82

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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.