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Finding the Fourth Proportional to 1,315.86, 1,973.90 and 341.97

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Solution

The fourth proportional to 1,315.86, 1,973.90 and 341.97 is: 512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.86 : 1,973.90 = 341.97 : x
  2. Step 2: Convert to fraction form
    1,315.86/1,973.90 = 341.97/x
  3. Step 3: Cross multiply
    1,315.86x = 1,973.90 × 341.97
  4. Step 4: Simplify right side
    1,315.86x = 675,012.87
  5. Step 5: Solve for x
    x = 675,012.87/1,315.86
  6. Step 6: Final answer
    x = 512.98

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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.