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Finding the Fourth Proportional to 538.20, 805.95 and 430.20

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Solution

The fourth proportional to 538.20, 805.95 and 430.20 is: 644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.20 : 805.95 = 430.20 : x
  2. Step 2: Convert to fraction form
    538.20/805.95 = 430.20/x
  3. Step 3: Cross multiply
    538.20x = 805.95 × 430.20
  4. Step 4: Simplify right side
    538.20x = 346,719.69
  5. Step 5: Solve for x
    x = 346,719.69/538.20
  6. Step 6: Final answer
    x = 644.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.