Home / 1,411.06-2,116.56-437.14

Finding the Fourth Proportional to 1,411.06, 2,116.56 and 437.14

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Solution

The fourth proportional to 1,411.06, 2,116.56 and 437.14 is: 655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.06 : 2,116.56 = 437.14 : x
  2. Step 2: Convert to fraction form
    1,411.06/2,116.56 = 437.14/x
  3. Step 3: Cross multiply
    1,411.06x = 2,116.56 × 437.14
  4. Step 4: Simplify right side
    1,411.06x = 925,233.04
  5. Step 5: Solve for x
    x = 925,233.04/1,411.06
  6. Step 6: Final answer
    x = 655.70

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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.