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Finding the Fourth Proportional to 941.09, 1,298.98 and 568.01

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Solution

The fourth proportional to 941.09, 1,298.98 and 568.01 is: 784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.09 : 1,298.98 = 568.01 : x
  2. Step 2: Convert to fraction form
    941.09/1,298.98 = 568.01/x
  3. Step 3: Cross multiply
    941.09x = 1,298.98 × 568.01
  4. Step 4: Simplify right side
    941.09x = 737,830.59
  5. Step 5: Solve for x
    x = 737,830.59/941.09
  6. Step 6: Final answer
    x = 784.01

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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.