Home / 1,390.24-2,082.96-977.44

Finding the Fourth Proportional to 1,390.24, 2,082.96 and 977.44

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Solution

The fourth proportional to 1,390.24, 2,082.96 and 977.44 is: 1,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.24 : 2,082.96 = 977.44 : x
  2. Step 2: Convert to fraction form
    1,390.24/2,082.96 = 977.44/x
  3. Step 3: Cross multiply
    1,390.24x = 2,082.96 × 977.44
  4. Step 4: Simplify right side
    1,390.24x = 2,035,968.42
  5. Step 5: Solve for x
    x = 2,035,968.42/1,390.24
  6. Step 6: Final answer
    x = 1,464.47

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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.