Home / 1,226.18-1,838.45-577.10

Finding the Fourth Proportional to 1,226.18, 1,838.45 and 577.10

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Solution

The fourth proportional to 1,226.18, 1,838.45 and 577.10 is: 865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.18 : 1,838.45 = 577.10 : x
  2. Step 2: Convert to fraction form
    1,226.18/1,838.45 = 577.10/x
  3. Step 3: Cross multiply
    1,226.18x = 1,838.45 × 577.10
  4. Step 4: Simplify right side
    1,226.18x = 1,060,961.75
  5. Step 5: Solve for x
    x = 1,060,961.75/1,226.18
  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.