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Finding the Fourth Proportional to 1,404.07, 2,106.37 and 538.31

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Solution

The fourth proportional to 1,404.07, 2,106.37 and 538.31 is: 807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.07 : 2,106.37 = 538.31 : x
  2. Step 2: Convert to fraction form
    1,404.07/2,106.37 = 538.31/x
  3. Step 3: Cross multiply
    1,404.07x = 2,106.37 × 538.31
  4. Step 4: Simplify right side
    1,404.07x = 1,133,885.97
  5. Step 5: Solve for x
    x = 1,133,885.97/1,404.07
  6. Step 6: Final answer
    x = 807.57

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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.