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Finding the Fourth Proportional to 581.86, 803.00 and 357.73

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Solution

The fourth proportional to 581.86, 803.00 and 357.73 is: 493.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.86 : 803.00 = 357.73 : x
  2. Step 2: Convert to fraction form
    581.86/803.00 = 357.73/x
  3. Step 3: Cross multiply
    581.86x = 803.00 × 357.73
  4. Step 4: Simplify right side
    581.86x = 287,255.40
  5. Step 5: Solve for x
    x = 287,255.40/581.86
  6. Step 6: Final answer
    x = 493.68

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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.