Home / 1,564.16-2,346.20-409.92

Finding the Fourth Proportional to 1,564.16, 2,346.20 and 409.92

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Solution

The fourth proportional to 1,564.16, 2,346.20 and 409.92 is: 614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.16 : 2,346.20 = 409.92 : x
  2. Step 2: Convert to fraction form
    1,564.16/2,346.20 = 409.92/x
  3. Step 3: Cross multiply
    1,564.16x = 2,346.20 × 409.92
  4. Step 4: Simplify right side
    1,564.16x = 961,754.30
  5. Step 5: Solve for x
    x = 961,754.30/1,564.16
  6. Step 6: Final answer
    x = 614.87

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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.