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Finding the Fourth Proportional to 1,605.78, 2,409.01 and 510.23

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Solution

The fourth proportional to 1,605.78, 2,409.01 and 510.23 is: 765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.78 : 2,409.01 = 510.23 : x
  2. Step 2: Convert to fraction form
    1,605.78/2,409.01 = 510.23/x
  3. Step 3: Cross multiply
    1,605.78x = 2,409.01 × 510.23
  4. Step 4: Simplify right side
    1,605.78x = 1,229,149.17
  5. Step 5: Solve for x
    x = 1,229,149.17/1,605.78
  6. Step 6: Final answer
    x = 765.45

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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.