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Finding the Fourth Proportional to 549.64, 820.31 and 509.50

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Solution

The fourth proportional to 549.64, 820.31 and 509.50 is: 760.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.64 : 820.31 = 509.50 : x
  2. Step 2: Convert to fraction form
    549.64/820.31 = 509.50/x
  3. Step 3: Cross multiply
    549.64x = 820.31 × 509.50
  4. Step 4: Simplify right side
    549.64x = 417,947.95
  5. Step 5: Solve for x
    x = 417,947.95/549.64
  6. Step 6: Final answer
    x = 760.40

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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.