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Finding the Fourth Proportional to 1,548.75, 2,321.95 and 623.60

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Solution

The fourth proportional to 1,548.75, 2,321.95 and 623.60 is: 934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.75 : 2,321.95 = 623.60 : x
  2. Step 2: Convert to fraction form
    1,548.75/2,321.95 = 623.60/x
  3. Step 3: Cross multiply
    1,548.75x = 2,321.95 × 623.60
  4. Step 4: Simplify right side
    1,548.75x = 1,447,968.02
  5. Step 5: Solve for x
    x = 1,447,968.02/1,548.75
  6. Step 6: Final answer
    x = 934.93

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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.