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Finding the Fourth Proportional to 597.38, 824.56 and 361.29

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Solution

The fourth proportional to 597.38, 824.56 and 361.29 is: 498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.38 : 824.56 = 361.29 : x
  2. Step 2: Convert to fraction form
    597.38/824.56 = 361.29/x
  3. Step 3: Cross multiply
    597.38x = 824.56 × 361.29
  4. Step 4: Simplify right side
    597.38x = 297,905.28
  5. Step 5: Solve for x
    x = 297,905.28/597.38
  6. Step 6: Final answer
    x = 498.69

Related Problems

Find fourth proportional to 298.69, 412.28 and 180.65
Half scale
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Double scale
Find fourth proportional to 598.38, 825.94 and 362.29
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.