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Finding the Fourth Proportional to 1,343.18, 2,014.86 and 521.46

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Solution

The fourth proportional to 1,343.18, 2,014.86 and 521.46 is: 782.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.18 : 2,014.86 = 521.46 : x
  2. Step 2: Convert to fraction form
    1,343.18/2,014.86 = 521.46/x
  3. Step 3: Cross multiply
    1,343.18x = 2,014.86 × 521.46
  4. Step 4: Simplify right side
    1,343.18x = 1,050,668.90
  5. Step 5: Solve for x
    x = 1,050,668.90/1,343.18
  6. Step 6: Final answer
    x = 782.22

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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.