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Finding the Fourth Proportional to 833.05, 1,152.57 and 708.31

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Solution

The fourth proportional to 833.05, 1,152.57 and 708.31 is: 979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.05 : 1,152.57 = 708.31 : x
  2. Step 2: Convert to fraction form
    833.05/1,152.57 = 708.31/x
  3. Step 3: Cross multiply
    833.05x = 1,152.57 × 708.31
  4. Step 4: Simplify right side
    833.05x = 816,376.86
  5. Step 5: Solve for x
    x = 816,376.86/833.05
  6. Step 6: Final answer
    x = 979.99

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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.