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Finding the Fourth Proportional to 1,411.73, 2,117.46 and 437.57

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Solution

The fourth proportional to 1,411.73, 2,117.46 and 437.57 is: 656.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.73 : 2,117.46 = 437.57 : x
  2. Step 2: Convert to fraction form
    1,411.73/2,117.46 = 437.57/x
  3. Step 3: Cross multiply
    1,411.73x = 2,117.46 × 437.57
  4. Step 4: Simplify right side
    1,411.73x = 926,536.97
  5. Step 5: Solve for x
    x = 926,536.97/1,411.73
  6. Step 6: Final answer
    x = 656.31

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1.5x scale

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.