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Finding the Fourth Proportional to 538.30, 807.58 and 342.62

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Solution

The fourth proportional to 538.30, 807.58 and 342.62 is: 514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.30 : 807.58 = 342.62 : x
  2. Step 2: Convert to fraction form
    538.30/807.58 = 342.62/x
  3. Step 3: Cross multiply
    538.30x = 807.58 × 342.62
  4. Step 4: Simplify right side
    538.30x = 276,693.06
  5. Step 5: Solve for x
    x = 276,693.06/538.30
  6. Step 6: Final answer
    x = 514.01

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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.