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Finding the Fourth Proportional to 1,317.55, 1,975.41 and 623.83

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Solution

The fourth proportional to 1,317.55, 1,975.41 and 623.83 is: 935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.55 : 1,975.41 = 623.83 : x
  2. Step 2: Convert to fraction form
    1,317.55/1,975.41 = 623.83/x
  3. Step 3: Cross multiply
    1,317.55x = 1,975.41 × 623.83
  4. Step 4: Simplify right side
    1,317.55x = 1,232,320.02
  5. Step 5: Solve for x
    x = 1,232,320.02/1,317.55
  6. Step 6: Final answer
    x = 935.31

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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.