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Finding the Fourth Proportional to 1,315.25, 1,971.95 and 665.54

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Solution

The fourth proportional to 1,315.25, 1,971.95 and 665.54 is: 997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.25 : 1,971.95 = 665.54 : x
  2. Step 2: Convert to fraction form
    1,315.25/1,971.95 = 665.54/x
  3. Step 3: Cross multiply
    1,315.25x = 1,971.95 × 665.54
  4. Step 4: Simplify right side
    1,315.25x = 1,312,403.41
  5. Step 5: Solve for x
    x = 1,312,403.41/1,315.25
  6. Step 6: Final answer
    x = 997.84

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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.