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Finding the Fourth Proportional to 866.31, 1,194.59 and 707.76

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Solution

The fourth proportional to 866.31, 1,194.59 and 707.76 is: 975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.31 : 1,194.59 = 707.76 : x
  2. Step 2: Convert to fraction form
    866.31/1,194.59 = 707.76/x
  3. Step 3: Cross multiply
    866.31x = 1,194.59 × 707.76
  4. Step 4: Simplify right side
    866.31x = 845,483.02
  5. Step 5: Solve for x
    x = 845,483.02/866.31
  6. Step 6: Final answer
    x = 975.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.