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Finding the Fourth Proportional to 633.34, 868.43 and 570.92

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Solution

The fourth proportional to 633.34, 868.43 and 570.92 is: 782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.34 : 868.43 = 570.92 : x
  2. Step 2: Convert to fraction form
    633.34/868.43 = 570.92/x
  3. Step 3: Cross multiply
    633.34x = 868.43 × 570.92
  4. Step 4: Simplify right side
    633.34x = 495,804.06
  5. Step 5: Solve for x
    x = 495,804.06/633.34
  6. Step 6: Final answer
    x = 782.84

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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.