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Finding the Fourth Proportional to 1,410.66, 2,116.79 and 761.38

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Solution

The fourth proportional to 1,410.66, 2,116.79 and 761.38 is: 1,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.66 : 2,116.79 = 761.38 : x
  2. Step 2: Convert to fraction form
    1,410.66/2,116.79 = 761.38/x
  3. Step 3: Cross multiply
    1,410.66x = 2,116.79 × 761.38
  4. Step 4: Simplify right side
    1,410.66x = 1,611,681.57
  5. Step 5: Solve for x
    x = 1,611,681.57/1,410.66
  6. Step 6: Final answer
    x = 1,142.50

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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.