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Finding the Fourth Proportional to 1,602.68, 2,405.62 and 1,140.98

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Solution

The fourth proportional to 1,602.68, 2,405.62 and 1,140.98 is: 1,712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.68 : 2,405.62 = 1,140.98 : x
  2. Step 2: Convert to fraction form
    1,602.68/2,405.62 = 1,140.98/x
  3. Step 3: Cross multiply
    1,602.68x = 2,405.62 × 1,140.98
  4. Step 4: Simplify right side
    1,602.68x = 2,744,764.31
  5. Step 5: Solve for x
    x = 2,744,764.31/1,602.68
  6. Step 6: Final answer
    x = 1,712.61

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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.