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Finding the Fourth Proportional to 823.56, 1,135.80 and 602.46

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Solution

The fourth proportional to 823.56, 1,135.80 and 602.46 is: 830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.56 : 1,135.80 = 602.46 : x
  2. Step 2: Convert to fraction form
    823.56/1,135.80 = 602.46/x
  3. Step 3: Cross multiply
    823.56x = 1,135.80 × 602.46
  4. Step 4: Simplify right side
    823.56x = 684,274.07
  5. Step 5: Solve for x
    x = 684,274.07/823.56
  6. Step 6: Final answer
    x = 830.87

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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.