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Finding the Fourth Proportional to 840.26, 1,259.82 and 320.24

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Solution

The fourth proportional to 840.26, 1,259.82 and 320.24 is: 480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.26 : 1,259.82 = 320.24 : x
  2. Step 2: Convert to fraction form
    840.26/1,259.82 = 320.24/x
  3. Step 3: Cross multiply
    840.26x = 1,259.82 × 320.24
  4. Step 4: Simplify right side
    840.26x = 403,444.76
  5. Step 5: Solve for x
    x = 403,444.76/840.26
  6. Step 6: Final answer
    x = 480.14

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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.