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Finding the Fourth Proportional to 1,343.23, 2,015.10 and 510.54

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Solution

The fourth proportional to 1,343.23, 2,015.10 and 510.54 is: 765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.23 : 2,015.10 = 510.54 : x
  2. Step 2: Convert to fraction form
    1,343.23/2,015.10 = 510.54/x
  3. Step 3: Cross multiply
    1,343.23x = 2,015.10 × 510.54
  4. Step 4: Simplify right side
    1,343.23x = 1,028,792.93
  5. Step 5: Solve for x
    x = 1,028,792.93/1,343.23
  6. Step 6: Final answer
    x = 765.91

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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.