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Finding the Fourth Proportional to 975.80, 1,464.15 and 513.79

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Solution

The fourth proportional to 975.80, 1,464.15 and 513.79 is: 770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.80 : 1,464.15 = 513.79 : x
  2. Step 2: Convert to fraction form
    975.80/1,464.15 = 513.79/x
  3. Step 3: Cross multiply
    975.80x = 1,464.15 × 513.79
  4. Step 4: Simplify right side
    975.80x = 752,270.69
  5. Step 5: Solve for x
    x = 752,270.69/975.80
  6. Step 6: Final answer
    x = 770.93

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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.