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Finding the Fourth Proportional to 840.24, 1,260.56 and 320.24

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Solution

The fourth proportional to 840.24, 1,260.56 and 320.24 is: 480.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.24 : 1,260.56 = 320.24 : x
  2. Step 2: Convert to fraction form
    840.24/1,260.56 = 320.24/x
  3. Step 3: Cross multiply
    840.24x = 1,260.56 × 320.24
  4. Step 4: Simplify right side
    840.24x = 403,681.73
  5. Step 5: Solve for x
    x = 403,681.73/840.24
  6. Step 6: Final answer
    x = 480.44

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1.5x scale

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.