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Finding the Fourth Proportional to 1,316.98, 1,975 and 439.25

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Solution

The fourth proportional to 1,316.98, 1,975 and 439.25 is: 658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.98 : 1,975 = 439.25 : x
  2. Step 2: Convert to fraction form
    1,316.98/1,975 = 439.25/x
  3. Step 3: Cross multiply
    1,316.98x = 1,975 × 439.25
  4. Step 4: Simplify right side
    1,316.98x = 867,518.75
  5. Step 5: Solve for x
    x = 867,518.75/1,316.98
  6. Step 6: Final answer
    x = 658.72

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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.