Home / 1,604.19-2,406.11-434.15

Finding the Fourth Proportional to 1,604.19, 2,406.11 and 434.15

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Solution

The fourth proportional to 1,604.19, 2,406.11 and 434.15 is: 651.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.19 : 2,406.11 = 434.15 : x
  2. Step 2: Convert to fraction form
    1,604.19/2,406.11 = 434.15/x
  3. Step 3: Cross multiply
    1,604.19x = 2,406.11 × 434.15
  4. Step 4: Simplify right side
    1,604.19x = 1,044,612.66
  5. Step 5: Solve for x
    x = 1,044,612.66/1,604.19
  6. Step 6: Final answer
    x = 651.18

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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.