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Finding the Fourth Proportional to 840.53, 1,261.08 and 624.02

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Solution

The fourth proportional to 840.53, 1,261.08 and 624.02 is: 936.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.53 : 1,261.08 = 624.02 : x
  2. Step 2: Convert to fraction form
    840.53/1,261.08 = 624.02/x
  3. Step 3: Cross multiply
    840.53x = 1,261.08 × 624.02
  4. Step 4: Simplify right side
    840.53x = 786,932.84
  5. Step 5: Solve for x
    x = 786,932.84/840.53
  6. Step 6: Final answer
    x = 936.23

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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.