Home / 1,604.18-2,406.66-508.58

Finding the Fourth Proportional to 1,604.18, 2,406.66 and 508.58

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Solution

The fourth proportional to 1,604.18, 2,406.66 and 508.58 is: 762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.18 : 2,406.66 = 508.58 : x
  2. Step 2: Convert to fraction form
    1,604.18/2,406.66 = 508.58/x
  3. Step 3: Cross multiply
    1,604.18x = 2,406.66 × 508.58
  4. Step 4: Simplify right side
    1,604.18x = 1,223,979.14
  5. Step 5: Solve for x
    x = 1,223,979.14/1,604.18
  6. Step 6: Final answer
    x = 762.99

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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.