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Finding the Fourth Proportional to 1,497.21, 2,066.31 and 907.73

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Solution

The fourth proportional to 1,497.21, 2,066.31 and 907.73 is: 1,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.21 : 2,066.31 = 907.73 : x
  2. Step 2: Convert to fraction form
    1,497.21/2,066.31 = 907.73/x
  3. Step 3: Cross multiply
    1,497.21x = 2,066.31 × 907.73
  4. Step 4: Simplify right side
    1,497.21x = 1,875,651.58
  5. Step 5: Solve for x
    x = 1,875,651.58/1,497.21
  6. Step 6: Final answer
    x = 1,252.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.