Home / 1,580.31-2,370.47-593.09

Finding the Fourth Proportional to 1,580.31, 2,370.47 and 593.09

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Solution

The fourth proportional to 1,580.31, 2,370.47 and 593.09 is: 889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.31 : 2,370.47 = 593.09 : x
  2. Step 2: Convert to fraction form
    1,580.31/2,370.47 = 593.09/x
  3. Step 3: Cross multiply
    1,580.31x = 2,370.47 × 593.09
  4. Step 4: Simplify right side
    1,580.31x = 1,405,897.61
  5. Step 5: Solve for x
    x = 1,405,897.61/1,580.31
  6. Step 6: Final answer
    x = 889.63

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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.