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Finding the Fourth Proportional to 1,462.51, 2,194.63 and 538.71

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Solution

The fourth proportional to 1,462.51, 2,194.63 and 538.71 is: 808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.51 : 2,194.63 = 538.71 : x
  2. Step 2: Convert to fraction form
    1,462.51/2,194.63 = 538.71/x
  3. Step 3: Cross multiply
    1,462.51x = 2,194.63 × 538.71
  4. Step 4: Simplify right side
    1,462.51x = 1,182,271.90
  5. Step 5: Solve for x
    x = 1,182,271.90/1,462.51
  6. Step 6: Final answer
    x = 808.39

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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.