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Finding the Fourth Proportional to 1,681.89, 2,523.14 and 511.99

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Solution

The fourth proportional to 1,681.89, 2,523.14 and 511.99 is: 768.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.89 : 2,523.14 = 511.99 : x
  2. Step 2: Convert to fraction form
    1,681.89/2,523.14 = 511.99/x
  3. Step 3: Cross multiply
    1,681.89x = 2,523.14 × 511.99
  4. Step 4: Simplify right side
    1,681.89x = 1,291,815.50
  5. Step 5: Solve for x
    x = 1,291,815.50/1,681.89
  6. Step 6: Final answer
    x = 768.08

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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.