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Finding the Fourth Proportional to 549.16, 819.36 and 536.70

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Solution

The fourth proportional to 549.16, 819.36 and 536.70 is: 800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.16 : 819.36 = 536.70 : x
  2. Step 2: Convert to fraction form
    549.16/819.36 = 536.70/x
  3. Step 3: Cross multiply
    549.16x = 819.36 × 536.70
  4. Step 4: Simplify right side
    549.16x = 439,750.51
  5. Step 5: Solve for x
    x = 439,750.51/549.16
  6. Step 6: Final answer
    x = 800.77

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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.