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Finding the Fourth Proportional to 597.60, 824.96 and 440.26

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Solution

The fourth proportional to 597.60, 824.96 and 440.26 is: 607.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.60 : 824.96 = 440.26 : x
  2. Step 2: Convert to fraction form
    597.60/824.96 = 440.26/x
  3. Step 3: Cross multiply
    597.60x = 824.96 × 440.26
  4. Step 4: Simplify right side
    597.60x = 363,195.93
  5. Step 5: Solve for x
    x = 363,195.93/597.60
  6. Step 6: Final answer
    x = 607.76

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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.