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Finding the Fourth Proportional to 572.90, 857.78 and 433.66

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Solution

The fourth proportional to 572.90, 857.78 and 433.66 is: 649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.90 : 857.78 = 433.66 : x
  2. Step 2: Convert to fraction form
    572.90/857.78 = 433.66/x
  3. Step 3: Cross multiply
    572.90x = 857.78 × 433.66
  4. Step 4: Simplify right side
    572.90x = 371,984.87
  5. Step 5: Solve for x
    x = 371,984.87/572.90
  6. Step 6: Final answer
    x = 649.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.