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Finding the Fourth Proportional to 1,403.87, 2,106.71 and 538.18

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Solution

The fourth proportional to 1,403.87, 2,106.71 and 538.18 is: 807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.87 : 2,106.71 = 538.18 : x
  2. Step 2: Convert to fraction form
    1,403.87/2,106.71 = 538.18/x
  3. Step 3: Cross multiply
    1,403.87x = 2,106.71 × 538.18
  4. Step 4: Simplify right side
    1,403.87x = 1,133,785.27
  5. Step 5: Solve for x
    x = 1,133,785.27/1,403.87
  6. Step 6: Final answer
    x = 807.62

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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.