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Finding the Fourth Proportional to 949.41, 1,416.76 and 840.06

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Solution

The fourth proportional to 949.41, 1,416.76 and 840.06 is: 1,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.41 : 1,416.76 = 840.06 : x
  2. Step 2: Convert to fraction form
    949.41/1,416.76 = 840.06/x
  3. Step 3: Cross multiply
    949.41x = 1,416.76 × 840.06
  4. Step 4: Simplify right side
    949.41x = 1,190,161.31
  5. Step 5: Solve for x
    x = 1,190,161.31/949.41
  6. Step 6: Final answer
    x = 1,253.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.