Home / 1,411.43-2,117.24-437.57

Finding the Fourth Proportional to 1,411.43, 2,117.24 and 437.57

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Solution

The fourth proportional to 1,411.43, 2,117.24 and 437.57 is: 656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.43 : 2,117.24 = 437.57 : x
  2. Step 2: Convert to fraction form
    1,411.43/2,117.24 = 437.57/x
  3. Step 3: Cross multiply
    1,411.43x = 2,117.24 × 437.57
  4. Step 4: Simplify right side
    1,411.43x = 926,440.71
  5. Step 5: Solve for x
    x = 926,440.71/1,411.43
  6. Step 6: Final answer
    x = 656.38

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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.