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Finding the Fourth Proportional to 597.39, 824.23 and 345.30

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Solution

The fourth proportional to 597.39, 824.23 and 345.30 is: 476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.39 : 824.23 = 345.30 : x
  2. Step 2: Convert to fraction form
    597.39/824.23 = 345.30/x
  3. Step 3: Cross multiply
    597.39x = 824.23 × 345.30
  4. Step 4: Simplify right side
    597.39x = 284,606.62
  5. Step 5: Solve for x
    x = 284,606.62/597.39
  6. Step 6: Final answer
    x = 476.42

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.