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Finding the Fourth Proportional to 1,542.65, 2,313.91 and 555.49

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Solution

The fourth proportional to 1,542.65, 2,313.91 and 555.49 is: 833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.65 : 2,313.91 = 555.49 : x
  2. Step 2: Convert to fraction form
    1,542.65/2,313.91 = 555.49/x
  3. Step 3: Cross multiply
    1,542.65x = 2,313.91 × 555.49
  4. Step 4: Simplify right side
    1,542.65x = 1,285,353.87
  5. Step 5: Solve for x
    x = 1,285,353.87/1,542.65
  6. Step 6: Final answer
    x = 833.21

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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.