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Finding the Fourth Proportional to 828.94, 1,237.72 and 707.14

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Solution

The fourth proportional to 828.94, 1,237.72 and 707.14 is: 1,055.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.94 : 1,237.72 = 707.14 : x
  2. Step 2: Convert to fraction form
    828.94/1,237.72 = 707.14/x
  3. Step 3: Cross multiply
    828.94x = 1,237.72 × 707.14
  4. Step 4: Simplify right side
    828.94x = 875,241.32
  5. Step 5: Solve for x
    x = 875,241.32/828.94
  6. Step 6: Final answer
    x = 1,055.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.