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Finding the Fourth Proportional to 597.44, 824.42 and 348.75

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Solution

The fourth proportional to 597.44, 824.42 and 348.75 is: 481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.44 : 824.42 = 348.75 : x
  2. Step 2: Convert to fraction form
    597.44/824.42 = 348.75/x
  3. Step 3: Cross multiply
    597.44x = 824.42 × 348.75
  4. Step 4: Simplify right side
    597.44x = 287,514.73
  5. Step 5: Solve for x
    x = 287,514.73/597.44
  6. Step 6: Final answer
    x = 481.25

Related Problems

Find fourth proportional to 298.72, 412.21 and 174.38
Half scale
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Double scale
Find fourth proportional to 598.44, 825.79 and 349.75
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.