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Finding the Fourth Proportional to 548.40, 823.12 and 440.16

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Solution

The fourth proportional to 548.40, 823.12 and 440.16 is: 660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.40 : 823.12 = 440.16 : x
  2. Step 2: Convert to fraction form
    548.40/823.12 = 440.16/x
  3. Step 3: Cross multiply
    548.40x = 823.12 × 440.16
  4. Step 4: Simplify right side
    548.40x = 362,304.50
  5. Step 5: Solve for x
    x = 362,304.50/548.40
  6. Step 6: Final answer
    x = 660.66

Related Problems

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Half scale
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Double scale
Find fourth proportional to 549.40, 824.62 and 441.16
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.