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Finding the Fourth Proportional to 1,579.11, 2,369.88 and 714.03

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Solution

The fourth proportional to 1,579.11, 2,369.88 and 714.03 is: 1,071.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,579.11 : 2,369.88 = 714.03 : x
  2. Step 2: Convert to fraction form
    1,579.11/2,369.88 = 714.03/x
  3. Step 3: Cross multiply
    1,579.11x = 2,369.88 × 714.03
  4. Step 4: Simplify right side
    1,579.11x = 1,692,165.42
  5. Step 5: Solve for x
    x = 1,692,165.42/1,579.11
  6. Step 6: Final answer
    x = 1,071.59

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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.