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Finding the Fourth Proportional to 823.34, 1,130.26 and 706.70

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Solution

The fourth proportional to 823.34, 1,130.26 and 706.70 is: 970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.34 : 1,130.26 = 706.70 : x
  2. Step 2: Convert to fraction form
    823.34/1,130.26 = 706.70/x
  3. Step 3: Cross multiply
    823.34x = 1,130.26 × 706.70
  4. Step 4: Simplify right side
    823.34x = 798,754.74
  5. Step 5: Solve for x
    x = 798,754.74/823.34
  6. Step 6: Final answer
    x = 970.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.