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Finding the Fourth Proportional to 714, 1,071.72 and 519.60

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Solution

The fourth proportional to 714, 1,071.72 and 519.60 is: 779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    714 : 1,071.72 = 519.60 : x
  2. Step 2: Convert to fraction form
    714/1,071.72 = 519.60/x
  3. Step 3: Cross multiply
    714x = 1,071.72 × 519.60
  4. Step 4: Simplify right side
    714x = 556,865.71
  5. Step 5: Solve for x
    x = 556,865.71/714
  6. Step 6: Final answer
    x = 779.92

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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.