Home / 1,659.30-2,289.62-977.98

Finding the Fourth Proportional to 1,659.30, 2,289.62 and 977.98

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Solution

The fourth proportional to 1,659.30, 2,289.62 and 977.98 is: 1,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.30 : 2,289.62 = 977.98 : x
  2. Step 2: Convert to fraction form
    1,659.30/2,289.62 = 977.98/x
  3. Step 3: Cross multiply
    1,659.30x = 2,289.62 × 977.98
  4. Step 4: Simplify right side
    1,659.30x = 2,239,199.29
  5. Step 5: Solve for x
    x = 2,239,199.29/1,659.30
  6. Step 6: Final answer
    x = 1,349.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.