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Finding the Fourth Proportional to 597.17, 822.76 and 431.12

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Solution

The fourth proportional to 597.17, 822.76 and 431.12 is: 593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.17 : 822.76 = 431.12 : x
  2. Step 2: Convert to fraction form
    597.17/822.76 = 431.12/x
  3. Step 3: Cross multiply
    597.17x = 822.76 × 431.12
  4. Step 4: Simplify right side
    597.17x = 354,709.27
  5. Step 5: Solve for x
    x = 354,709.27/597.17
  6. Step 6: Final answer
    x = 593.98

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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.