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Finding the Fourth Proportional to 840.46, 1,261.15 and 353.50

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Solution

The fourth proportional to 840.46, 1,261.15 and 353.50 is: 530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.46 : 1,261.15 = 353.50 : x
  2. Step 2: Convert to fraction form
    840.46/1,261.15 = 353.50/x
  3. Step 3: Cross multiply
    840.46x = 1,261.15 × 353.50
  4. Step 4: Simplify right side
    840.46x = 445,816.53
  5. Step 5: Solve for x
    x = 445,816.53/840.46
  6. Step 6: Final answer
    x = 530.44

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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.