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Finding the Fourth Proportional to 840.42, 1,260.93 and 320.46

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Solution

The fourth proportional to 840.42, 1,260.93 and 320.46 is: 480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.42 : 1,260.93 = 320.46 : x
  2. Step 2: Convert to fraction form
    840.42/1,260.93 = 320.46/x
  3. Step 3: Cross multiply
    840.42x = 1,260.93 × 320.46
  4. Step 4: Simplify right side
    840.42x = 404,077.63
  5. Step 5: Solve for x
    x = 404,077.63/840.42
  6. Step 6: Final answer
    x = 480.80

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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.