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Finding the Fourth Proportional to 975.74, 1,463.82 and 513.27

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Solution

The fourth proportional to 975.74, 1,463.82 and 513.27 is: 770.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.74 : 1,463.82 = 513.27 : x
  2. Step 2: Convert to fraction form
    975.74/1,463.82 = 513.27/x
  3. Step 3: Cross multiply
    975.74x = 1,463.82 × 513.27
  4. Step 4: Simplify right side
    975.74x = 751,325.01
  5. Step 5: Solve for x
    x = 751,325.01/975.74
  6. Step 6: Final answer
    x = 770.01

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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.