Home / 1,985.20-2,977.78-504.42

Finding the Fourth Proportional to 1,985.20, 2,977.78 and 504.42

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Solution

The fourth proportional to 1,985.20, 2,977.78 and 504.42 is: 756.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.20 : 2,977.78 = 504.42 : x
  2. Step 2: Convert to fraction form
    1,985.20/2,977.78 = 504.42/x
  3. Step 3: Cross multiply
    1,985.20x = 2,977.78 × 504.42
  4. Step 4: Simplify right side
    1,985.20x = 1,502,051.79
  5. Step 5: Solve for x
    x = 1,502,051.79/1,985.20
  6. Step 6: Final answer
    x = 756.62

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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.