Home / 1,984.40-2,977.01-597.83

Finding the Fourth Proportional to 1,984.40, 2,977.01 and 597.83

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Solution

The fourth proportional to 1,984.40, 2,977.01 and 597.83 is: 896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.40 : 2,977.01 = 597.83 : x
  2. Step 2: Convert to fraction form
    1,984.40/2,977.01 = 597.83/x
  3. Step 3: Cross multiply
    1,984.40x = 2,977.01 × 597.83
  4. Step 4: Simplify right side
    1,984.40x = 1,779,752.58
  5. Step 5: Solve for x
    x = 1,779,752.58/1,984.40
  6. Step 6: Final answer
    x = 896.87

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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.