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Finding the Fourth Proportional to 1,174.93, 1,762.60 and 405.25

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Solution

The fourth proportional to 1,174.93, 1,762.60 and 405.25 is: 607.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.93 : 1,762.60 = 405.25 : x
  2. Step 2: Convert to fraction form
    1,174.93/1,762.60 = 405.25/x
  3. Step 3: Cross multiply
    1,174.93x = 1,762.60 × 405.25
  4. Step 4: Simplify right side
    1,174.93x = 714,291.62
  5. Step 5: Solve for x
    x = 714,291.62/1,174.93
  6. Step 6: Final answer
    x = 607.94

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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.