Home / 1,585.06-2,377.36-415.10

Finding the Fourth Proportional to 1,585.06, 2,377.36 and 415.10

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Solution

The fourth proportional to 1,585.06, 2,377.36 and 415.10 is: 622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.06 : 2,377.36 = 415.10 : x
  2. Step 2: Convert to fraction form
    1,585.06/2,377.36 = 415.10/x
  3. Step 3: Cross multiply
    1,585.06x = 2,377.36 × 415.10
  4. Step 4: Simplify right side
    1,585.06x = 986,842.14
  5. Step 5: Solve for x
    x = 986,842.14/1,585.06
  6. Step 6: Final answer
    x = 622.59

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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.