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Finding the Fourth Proportional to 420.63, 579.03 and 365.13

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Solution

The fourth proportional to 420.63, 579.03 and 365.13 is: 502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.63 : 579.03 = 365.13 : x
  2. Step 2: Convert to fraction form
    420.63/579.03 = 365.13/x
  3. Step 3: Cross multiply
    420.63x = 579.03 × 365.13
  4. Step 4: Simplify right side
    420.63x = 211,421.22
  5. Step 5: Solve for x
    x = 211,421.22/420.63
  6. Step 6: Final answer
    x = 502.63

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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.