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Finding the Fourth Proportional to 572.74, 790.65 and 365.86

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Solution

The fourth proportional to 572.74, 790.65 and 365.86 is: 505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.74 : 790.65 = 365.86 : x
  2. Step 2: Convert to fraction form
    572.74/790.65 = 365.86/x
  3. Step 3: Cross multiply
    572.74x = 790.65 × 365.86
  4. Step 4: Simplify right side
    572.74x = 289,267.21
  5. Step 5: Solve for x
    x = 289,267.21/572.74
  6. Step 6: Final answer
    x = 505.06

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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.