Home / 1,315.09-1,972.65-341.20

Finding the Fourth Proportional to 1,315.09, 1,972.65 and 341.20

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Solution

The fourth proportional to 1,315.09, 1,972.65 and 341.20 is: 511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.09 : 1,972.65 = 341.20 : x
  2. Step 2: Convert to fraction form
    1,315.09/1,972.65 = 341.20/x
  3. Step 3: Cross multiply
    1,315.09x = 1,972.65 × 341.20
  4. Step 4: Simplify right side
    1,315.09x = 673,068.18
  5. Step 5: Solve for x
    x = 673,068.18/1,315.09
  6. Step 6: Final answer
    x = 511.80

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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.