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Finding the Fourth Proportional to 713.81, 1,068.73 and 539.93

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Solution

The fourth proportional to 713.81, 1,068.73 and 539.93 is: 808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.81 : 1,068.73 = 539.93 : x
  2. Step 2: Convert to fraction form
    713.81/1,068.73 = 539.93/x
  3. Step 3: Cross multiply
    713.81x = 1,068.73 × 539.93
  4. Step 4: Simplify right side
    713.81x = 577,039.39
  5. Step 5: Solve for x
    x = 577,039.39/713.81
  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.