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Finding the Fourth Proportional to 941.92, 1,299.68 and 543.52

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Solution

The fourth proportional to 941.92, 1,299.68 and 543.52 is: 749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.92 : 1,299.68 = 543.52 : x
  2. Step 2: Convert to fraction form
    941.92/1,299.68 = 543.52/x
  3. Step 3: Cross multiply
    941.92x = 1,299.68 × 543.52
  4. Step 4: Simplify right side
    941.92x = 706,402.07
  5. Step 5: Solve for x
    x = 706,402.07/941.92
  6. Step 6: Final answer
    x = 749.96

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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.