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Finding the Fourth Proportional to 547.56, 823.16 and 440.03

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Solution

The fourth proportional to 547.56, 823.16 and 440.03 is: 661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.56 : 823.16 = 440.03 : x
  2. Step 2: Convert to fraction form
    547.56/823.16 = 440.03/x
  3. Step 3: Cross multiply
    547.56x = 823.16 × 440.03
  4. Step 4: Simplify right side
    547.56x = 362,218.25
  5. Step 5: Solve for x
    x = 362,218.25/547.56
  6. Step 6: Final answer
    x = 661.51

Related Problems

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Half scale
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Double scale
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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.