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Finding the Fourth Proportional to 548.32, 822.84 and 497.44

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Solution

The fourth proportional to 548.32, 822.84 and 497.44 is: 746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.32 : 822.84 = 497.44 : x
  2. Step 2: Convert to fraction form
    548.32/822.84 = 497.44/x
  3. Step 3: Cross multiply
    548.32x = 822.84 × 497.44
  4. Step 4: Simplify right side
    548.32x = 409,313.53
  5. Step 5: Solve for x
    x = 409,313.53/548.32
  6. Step 6: Final answer
    x = 746.49

Related Problems

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Double scale
Find fourth proportional to 549.32, 824.34 and 498.44
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.