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Finding the Fourth Proportional to 572.93, 790.75 and 352.02

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Solution

The fourth proportional to 572.93, 790.75 and 352.02 is: 485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.93 : 790.75 = 352.02 : x
  2. Step 2: Convert to fraction form
    572.93/790.75 = 352.02/x
  3. Step 3: Cross multiply
    572.93x = 790.75 × 352.02
  4. Step 4: Simplify right side
    572.93x = 278,359.82
  5. Step 5: Solve for x
    x = 278,359.82/572.93
  6. Step 6: Final answer
    x = 485.85

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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.