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Finding the Fourth Proportional to 1,551.93, 2,328.28 and 511.99

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Solution

The fourth proportional to 1,551.93, 2,328.28 and 511.99 is: 768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.93 : 2,328.28 = 511.99 : x
  2. Step 2: Convert to fraction form
    1,551.93/2,328.28 = 511.99/x
  3. Step 3: Cross multiply
    1,551.93x = 2,328.28 × 511.99
  4. Step 4: Simplify right side
    1,551.93x = 1,192,048.98
  5. Step 5: Solve for x
    x = 1,192,048.98/1,551.93
  6. Step 6: Final answer
    x = 768.11

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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.