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Finding the Fourth Proportional to 840.34, 1,260.08 and 493.75

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Solution

The fourth proportional to 840.34, 1,260.08 and 493.75 is: 740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.34 : 1,260.08 = 493.75 : x
  2. Step 2: Convert to fraction form
    840.34/1,260.08 = 493.75/x
  3. Step 3: Cross multiply
    840.34x = 1,260.08 × 493.75
  4. Step 4: Simplify right side
    840.34x = 622,164.50
  5. Step 5: Solve for x
    x = 622,164.50/840.34
  6. Step 6: Final answer
    x = 740.37

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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.