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Finding the Fourth Proportional to 572.74, 790.34 and 336.66

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Solution

The fourth proportional to 572.74, 790.34 and 336.66 is: 464.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.74 : 790.34 = 336.66 : x
  2. Step 2: Convert to fraction form
    572.74/790.34 = 336.66/x
  3. Step 3: Cross multiply
    572.74x = 790.34 × 336.66
  4. Step 4: Simplify right side
    572.74x = 266,075.86
  5. Step 5: Solve for x
    x = 266,075.86/572.74
  6. Step 6: Final answer
    x = 464.57

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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.