Home / 1,604.08-2,403.96-577.36

Finding the Fourth Proportional to 1,604.08, 2,403.96 and 577.36

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Solution

The fourth proportional to 1,604.08, 2,403.96 and 577.36 is: 865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.08 : 2,403.96 = 577.36 : x
  2. Step 2: Convert to fraction form
    1,604.08/2,403.96 = 577.36/x
  3. Step 3: Cross multiply
    1,604.08x = 2,403.96 × 577.36
  4. Step 4: Simplify right side
    1,604.08x = 1,387,950.35
  5. Step 5: Solve for x
    x = 1,387,950.35/1,604.08
  6. Step 6: Final answer
    x = 865.26

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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.