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Finding the Fourth Proportional to 1,580.48, 2,371.20 and 896

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Solution

The fourth proportional to 1,580.48, 2,371.20 and 896 is: 1,344.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.48 : 2,371.20 = 896 : x
  2. Step 2: Convert to fraction form
    1,580.48/2,371.20 = 896/x
  3. Step 3: Cross multiply
    1,580.48x = 2,371.20 × 896
  4. Step 4: Simplify right side
    1,580.48x = 2,124,595.20
  5. Step 5: Solve for x
    x = 2,124,595.20/1,580.48
  6. Step 6: Final answer
    x = 1,344.27

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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.