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Finding the Fourth Proportional to 840, 1,259.76 and 353.16

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Solution

The fourth proportional to 840, 1,259.76 and 353.16 is: 529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    840 : 1,259.76 = 353.16 : x
  2. Step 2: Convert to fraction form
    840/1,259.76 = 353.16/x
  3. Step 3: Cross multiply
    840x = 1,259.76 × 353.16
  4. Step 4: Simplify right side
    840x = 444,896.84
  5. Step 5: Solve for x
    x = 444,896.84/840
  6. Step 6: Final answer
    x = 529.64

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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.