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Finding the Fourth Proportional to 941.71, 1,299.35 and 568.86

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Solution

The fourth proportional to 941.71, 1,299.35 and 568.86 is: 784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.71 : 1,299.35 = 568.86 : x
  2. Step 2: Convert to fraction form
    941.71/1,299.35 = 568.86/x
  3. Step 3: Cross multiply
    941.71x = 1,299.35 × 568.86
  4. Step 4: Simplify right side
    941.71x = 739,148.24
  5. Step 5: Solve for x
    x = 739,148.24/941.71
  6. Step 6: Final answer
    x = 784.90

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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.