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Finding the Fourth Proportional to 573.69, 790.86 and 433.95

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Solution

The fourth proportional to 573.69, 790.86 and 433.95 is: 598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.69 : 790.86 = 433.95 : x
  2. Step 2: Convert to fraction form
    573.69/790.86 = 433.95/x
  3. Step 3: Cross multiply
    573.69x = 790.86 × 433.95
  4. Step 4: Simplify right side
    573.69x = 343,193.70
  5. Step 5: Solve for x
    x = 343,193.70/573.69
  6. Step 6: Final answer
    x = 598.22

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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.