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Finding the Fourth Proportional to 822.34, 1,134.77 and 602.22

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Solution

The fourth proportional to 822.34, 1,134.77 and 602.22 is: 831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.34 : 1,134.77 = 602.22 : x
  2. Step 2: Convert to fraction form
    822.34/1,134.77 = 602.22/x
  3. Step 3: Cross multiply
    822.34x = 1,134.77 × 602.22
  4. Step 4: Simplify right side
    822.34x = 683,381.19
  5. Step 5: Solve for x
    x = 683,381.19/822.34
  6. Step 6: Final answer
    x = 831.02

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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.