Home / 1,985.30-2,977.98-524.42

Finding the Fourth Proportional to 1,985.30, 2,977.98 and 524.42

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Solution

The fourth proportional to 1,985.30, 2,977.98 and 524.42 is: 786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.30 : 2,977.98 = 524.42 : x
  2. Step 2: Convert to fraction form
    1,985.30/2,977.98 = 524.42/x
  3. Step 3: Cross multiply
    1,985.30x = 2,977.98 × 524.42
  4. Step 4: Simplify right side
    1,985.30x = 1,561,712.27
  5. Step 5: Solve for x
    x = 1,561,712.27/1,985.30
  6. Step 6: Final answer
    x = 786.64

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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.