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Finding the Fourth Proportional to 549.45, 824.45 and 275.49

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Solution

The fourth proportional to 549.45, 824.45 and 275.49 is: 413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.45 : 824.45 = 275.49 : x
  2. Step 2: Convert to fraction form
    549.45/824.45 = 275.49/x
  3. Step 3: Cross multiply
    549.45x = 824.45 × 275.49
  4. Step 4: Simplify right side
    549.45x = 227,126.35
  5. Step 5: Solve for x
    x = 227,126.35/549.45
  6. Step 6: Final answer
    x = 413.37

Related Problems

Find fourth proportional to 274.73, 412.22 and 137.75
Half scale
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Double scale
Find fourth proportional to 550.45, 825.95 and 276.49
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.