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Finding the Fourth Proportional to 572.34, 790.71 and 462.54

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Solution

The fourth proportional to 572.34, 790.71 and 462.54 is: 639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.34 : 790.71 = 462.54 : x
  2. Step 2: Convert to fraction form
    572.34/790.71 = 462.54/x
  3. Step 3: Cross multiply
    572.34x = 790.71 × 462.54
  4. Step 4: Simplify right side
    572.34x = 365,735.00
  5. Step 5: Solve for x
    x = 365,735.00/572.34
  6. Step 6: Final answer
    x = 639.02

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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.