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Finding the Fourth Proportional to 1,315.63, 1,972.80 and 767.98

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Solution

The fourth proportional to 1,315.63, 1,972.80 and 767.98 is: 1,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.63 : 1,972.80 = 767.98 : x
  2. Step 2: Convert to fraction form
    1,315.63/1,972.80 = 767.98/x
  3. Step 3: Cross multiply
    1,315.63x = 1,972.80 × 767.98
  4. Step 4: Simplify right side
    1,315.63x = 1,515,070.94
  5. Step 5: Solve for x
    x = 1,515,070.94/1,315.63
  6. Step 6: Final answer
    x = 1,151.59

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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.