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Finding the Fourth Proportional to 549.16, 819.10 and 467.08

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Solution

The fourth proportional to 549.16, 819.10 and 467.08 is: 696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.16 : 819.10 = 467.08 : x
  2. Step 2: Convert to fraction form
    549.16/819.10 = 467.08/x
  3. Step 3: Cross multiply
    549.16x = 819.10 × 467.08
  4. Step 4: Simplify right side
    549.16x = 382,585.23
  5. Step 5: Solve for x
    x = 382,585.23/549.16
  6. Step 6: Final answer
    x = 696.67

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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.