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Finding the Fourth Proportional to 548.83, 822.70 and 274.51

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Solution

The fourth proportional to 548.83, 822.70 and 274.51 is: 411.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.83 : 822.70 = 274.51 : x
  2. Step 2: Convert to fraction form
    548.83/822.70 = 274.51/x
  3. Step 3: Cross multiply
    548.83x = 822.70 × 274.51
  4. Step 4: Simplify right side
    548.83x = 225,839.38
  5. Step 5: Solve for x
    x = 225,839.38/548.83
  6. Step 6: Final answer
    x = 411.49

Related Problems

Find fourth proportional to 274.42, 411.35 and 137.26
Half scale
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Double scale
Find fourth proportional to 549.83, 824.20 and 275.51
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.