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Finding the Fourth Proportional to 573.06, 790.78 and 337.02

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Solution

The fourth proportional to 573.06, 790.78 and 337.02 is: 465.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.06 : 790.78 = 337.02 : x
  2. Step 2: Convert to fraction form
    573.06/790.78 = 337.02/x
  3. Step 3: Cross multiply
    573.06x = 790.78 × 337.02
  4. Step 4: Simplify right side
    573.06x = 266,508.68
  5. Step 5: Solve for x
    x = 266,508.68/573.06
  6. Step 6: Final answer
    x = 465.06

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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.