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Finding the Fourth Proportional to 549.52, 820.34 and 509.52

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Solution

The fourth proportional to 549.52, 820.34 and 509.52 is: 760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.52 : 820.34 = 509.52 : x
  2. Step 2: Convert to fraction form
    549.52/820.34 = 509.52/x
  3. Step 3: Cross multiply
    549.52x = 820.34 × 509.52
  4. Step 4: Simplify right side
    549.52x = 417,979.64
  5. Step 5: Solve for x
    x = 417,979.64/549.52
  6. Step 6: Final answer
    x = 760.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.