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Finding the Fourth Proportional to 840.00, 1,259.85 and 531.46

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Solution

The fourth proportional to 840.00, 1,259.85 and 531.46 is: 797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.00 : 1,259.85 = 531.46 : x
  2. Step 2: Convert to fraction form
    840.00/1,259.85 = 531.46/x
  3. Step 3: Cross multiply
    840.00x = 1,259.85 × 531.46
  4. Step 4: Simplify right side
    840.00x = 669,563.45
  5. Step 5: Solve for x
    x = 669,563.45/840.00
  6. Step 6: Final answer
    x = 797.10

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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.