Home / 1,310.15-1,964.75-385.47

Finding the Fourth Proportional to 1,310.15, 1,964.75 and 385.47

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Solution

The fourth proportional to 1,310.15, 1,964.75 and 385.47 is: 578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.15 : 1,964.75 = 385.47 : x
  2. Step 2: Convert to fraction form
    1,310.15/1,964.75 = 385.47/x
  3. Step 3: Cross multiply
    1,310.15x = 1,964.75 × 385.47
  4. Step 4: Simplify right side
    1,310.15x = 757,350.26
  5. Step 5: Solve for x
    x = 757,350.26/1,310.15
  6. Step 6: Final answer
    x = 578.06

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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.