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Finding the Fourth Proportional to 597.38, 823.38 and 410.54

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Solution

The fourth proportional to 597.38, 823.38 and 410.54 is: 565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.38 : 823.38 = 410.54 : x
  2. Step 2: Convert to fraction form
    597.38/823.38 = 410.54/x
  3. Step 3: Cross multiply
    597.38x = 823.38 × 410.54
  4. Step 4: Simplify right side
    597.38x = 338,030.43
  5. Step 5: Solve for x
    x = 338,030.43/597.38
  6. Step 6: Final answer
    x = 565.85

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.