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Finding the Fourth Proportional to 1,550.50, 2,325.48 and 510.51

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Solution

The fourth proportional to 1,550.50, 2,325.48 and 510.51 is: 765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.50 : 2,325.48 = 510.51 : x
  2. Step 2: Convert to fraction form
    1,550.50/2,325.48 = 510.51/x
  3. Step 3: Cross multiply
    1,550.50x = 2,325.48 × 510.51
  4. Step 4: Simplify right side
    1,550.50x = 1,187,180.79
  5. Step 5: Solve for x
    x = 1,187,180.79/1,550.50
  6. Step 6: Final answer
    x = 765.68

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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.