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Finding the Fourth Proportional to 941.14, 1,299 and 543.02

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Solution

The fourth proportional to 941.14, 1,299 and 543.02 is: 749.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.14 : 1,299 = 543.02 : x
  2. Step 2: Convert to fraction form
    941.14/1,299 = 543.02/x
  3. Step 3: Cross multiply
    941.14x = 1,299 × 543.02
  4. Step 4: Simplify right side
    941.14x = 705,382.98
  5. Step 5: Solve for x
    x = 705,382.98/941.14
  6. Step 6: Final answer
    x = 749.50

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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.