Home / 1,320.30-1,980.54-346.38

Finding the Fourth Proportional to 1,320.30, 1,980.54 and 346.38

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Solution

The fourth proportional to 1,320.30, 1,980.54 and 346.38 is: 519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.30 : 1,980.54 = 346.38 : x
  2. Step 2: Convert to fraction form
    1,320.30/1,980.54 = 346.38/x
  3. Step 3: Cross multiply
    1,320.30x = 1,980.54 × 346.38
  4. Step 4: Simplify right side
    1,320.30x = 686,019.45
  5. Step 5: Solve for x
    x = 686,019.45/1,320.30
  6. Step 6: Final answer
    x = 519.59

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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.