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Finding the Fourth Proportional to 783.96, 1,082.34 and 597.12

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Solution

The fourth proportional to 783.96, 1,082.34 and 597.12 is: 824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.96 : 1,082.34 = 597.12 : x
  2. Step 2: Convert to fraction form
    783.96/1,082.34 = 597.12/x
  3. Step 3: Cross multiply
    783.96x = 1,082.34 × 597.12
  4. Step 4: Simplify right side
    783.96x = 646,286.86
  5. Step 5: Solve for x
    x = 646,286.86/783.96
  6. Step 6: Final answer
    x = 824.39

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Double scale
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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.