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Finding the Fourth Proportional to 833.62, 1,244.29 and 710.98

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Solution

The fourth proportional to 833.62, 1,244.29 and 710.98 is: 1,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.62 : 1,244.29 = 710.98 : x
  2. Step 2: Convert to fraction form
    833.62/1,244.29 = 710.98/x
  3. Step 3: Cross multiply
    833.62x = 1,244.29 × 710.98
  4. Step 4: Simplify right side
    833.62x = 884,661.75
  5. Step 5: Solve for x
    x = 884,661.75/833.62
  6. Step 6: Final answer
    x = 1,061.23

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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.