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Finding the Fourth Proportional to 975.53, 1,464.21 and 513.65

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Solution

The fourth proportional to 975.53, 1,464.21 and 513.65 is: 770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.53 : 1,464.21 = 513.65 : x
  2. Step 2: Convert to fraction form
    975.53/1,464.21 = 513.65/x
  3. Step 3: Cross multiply
    975.53x = 1,464.21 × 513.65
  4. Step 4: Simplify right side
    975.53x = 752,084.15
  5. Step 5: Solve for x
    x = 752,084.15/975.53
  6. Step 6: Final answer
    x = 770.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.