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Finding the Fourth Proportional to 842.51, 1,262.86 and 534.51

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Solution

The fourth proportional to 842.51, 1,262.86 and 534.51 is: 801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.51 : 1,262.86 = 534.51 : x
  2. Step 2: Convert to fraction form
    842.51/1,262.86 = 534.51/x
  3. Step 3: Cross multiply
    842.51x = 1,262.86 × 534.51
  4. Step 4: Simplify right side
    842.51x = 675,009.96
  5. Step 5: Solve for x
    x = 675,009.96/842.51
  6. Step 6: Final answer
    x = 801.19

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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.