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Finding the Fourth Proportional to 975.93, 1,464.92 and 543.39

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Solution

The fourth proportional to 975.93, 1,464.92 and 543.39 is: 815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.93 : 1,464.92 = 543.39 : x
  2. Step 2: Convert to fraction form
    975.93/1,464.92 = 543.39/x
  3. Step 3: Cross multiply
    975.93x = 1,464.92 × 543.39
  4. Step 4: Simplify right side
    975.93x = 796,020.16
  5. Step 5: Solve for x
    x = 796,020.16/975.93
  6. Step 6: Final answer
    x = 815.65

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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.