Home / 1,642.35-2,463.50-409.77

Finding the Fourth Proportional to 1,642.35, 2,463.50 and 409.77

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Solution

The fourth proportional to 1,642.35, 2,463.50 and 409.77 is: 614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.35 : 2,463.50 = 409.77 : x
  2. Step 2: Convert to fraction form
    1,642.35/2,463.50 = 409.77/x
  3. Step 3: Cross multiply
    1,642.35x = 2,463.50 × 409.77
  4. Step 4: Simplify right side
    1,642.35x = 1,009,468.40
  5. Step 5: Solve for x
    x = 1,009,468.40/1,642.35
  6. Step 6: Final answer
    x = 614.65

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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.