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Finding the Fourth Proportional to 1,411.01, 2,116.44 and 437.09

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Solution

The fourth proportional to 1,411.01, 2,116.44 and 437.09 is: 655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.01 : 2,116.44 = 437.09 : x
  2. Step 2: Convert to fraction form
    1,411.01/2,116.44 = 437.09/x
  3. Step 3: Cross multiply
    1,411.01x = 2,116.44 × 437.09
  4. Step 4: Simplify right side
    1,411.01x = 925,064.18
  5. Step 5: Solve for x
    x = 925,064.18/1,411.01
  6. Step 6: Final answer
    x = 655.60

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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.