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Finding the Fourth Proportional to 941.26, 1,410.67 and 392.70

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Solution

The fourth proportional to 941.26, 1,410.67 and 392.70 is: 588.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.26 : 1,410.67 = 392.70 : x
  2. Step 2: Convert to fraction form
    941.26/1,410.67 = 392.70/x
  3. Step 3: Cross multiply
    941.26x = 1,410.67 × 392.70
  4. Step 4: Simplify right side
    941.26x = 553,970.11
  5. Step 5: Solve for x
    x = 553,970.11/941.26
  6. Step 6: Final answer
    x = 588.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.