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Finding the Fourth Proportional to 975.97, 1,464.45 and 537.58

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Solution

The fourth proportional to 975.97, 1,464.45 and 537.58 is: 806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.97 : 1,464.45 = 537.58 : x
  2. Step 2: Convert to fraction form
    975.97/1,464.45 = 537.58/x
  3. Step 3: Cross multiply
    975.97x = 1,464.45 × 537.58
  4. Step 4: Simplify right side
    975.97x = 787,259.03
  5. Step 5: Solve for x
    x = 787,259.03/975.97
  6. Step 6: Final answer
    x = 806.64

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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.