Home / 1,564.11-2,346.08-409.86

Finding the Fourth Proportional to 1,564.11, 2,346.08 and 409.86

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Solution

The fourth proportional to 1,564.11, 2,346.08 and 409.86 is: 614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.11 : 2,346.08 = 409.86 : x
  2. Step 2: Convert to fraction form
    1,564.11/2,346.08 = 409.86/x
  3. Step 3: Cross multiply
    1,564.11x = 2,346.08 × 409.86
  4. Step 4: Simplify right side
    1,564.11x = 961,562.30
  5. Step 5: Solve for x
    x = 961,562.30/1,564.11
  6. Step 6: Final answer
    x = 614.77

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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.