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Finding the Fourth Proportional to 549.08, 816.55 and 531.77

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Solution

The fourth proportional to 549.08, 816.55 and 531.77 is: 790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.08 : 816.55 = 531.77 : x
  2. Step 2: Convert to fraction form
    549.08/816.55 = 531.77/x
  3. Step 3: Cross multiply
    549.08x = 816.55 × 531.77
  4. Step 4: Simplify right side
    549.08x = 434,216.79
  5. Step 5: Solve for x
    x = 434,216.79/549.08
  6. Step 6: Final answer
    x = 790.82

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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.