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Finding the Fourth Proportional to 1,172.82, 1,759.10 and 307.07

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Solution

The fourth proportional to 1,172.82, 1,759.10 and 307.07 is: 460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.82 : 1,759.10 = 307.07 : x
  2. Step 2: Convert to fraction form
    1,172.82/1,759.10 = 307.07/x
  3. Step 3: Cross multiply
    1,172.82x = 1,759.10 × 307.07
  4. Step 4: Simplify right side
    1,172.82x = 540,156.51
  5. Step 5: Solve for x
    x = 540,156.51/1,172.82
  6. Step 6: Final answer
    x = 460.56

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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.