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Finding the Fourth Proportional to 840.36, 1,259.63 and 292.25

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Solution

The fourth proportional to 840.36, 1,259.63 and 292.25 is: 438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.36 : 1,259.63 = 292.25 : x
  2. Step 2: Convert to fraction form
    840.36/1,259.63 = 292.25/x
  3. Step 3: Cross multiply
    840.36x = 1,259.63 × 292.25
  4. Step 4: Simplify right side
    840.36x = 368,119.11
  5. Step 5: Solve for x
    x = 368,119.11/840.36
  6. Step 6: Final answer
    x = 438.05

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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.