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Finding the Fourth Proportional to 1,580.31, 2,370.87 and 714.69

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Solution

The fourth proportional to 1,580.31, 2,370.87 and 714.69 is: 1,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.31 : 2,370.87 = 714.69 : x
  2. Step 2: Convert to fraction form
    1,580.31/2,370.87 = 714.69/x
  3. Step 3: Cross multiply
    1,580.31x = 2,370.87 × 714.69
  4. Step 4: Simplify right side
    1,580.31x = 1,694,437.08
  5. Step 5: Solve for x
    x = 1,694,437.08/1,580.31
  6. Step 6: Final answer
    x = 1,072.22

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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.