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Finding the Fourth Proportional to 1,172.95, 1,759.43 and 307.26

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Solution

The fourth proportional to 1,172.95, 1,759.43 and 307.26 is: 460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.95 : 1,759.43 = 307.26 : x
  2. Step 2: Convert to fraction form
    1,172.95/1,759.43 = 307.26/x
  3. Step 3: Cross multiply
    1,172.95x = 1,759.43 × 307.26
  4. Step 4: Simplify right side
    1,172.95x = 540,603.23
  5. Step 5: Solve for x
    x = 540,603.23/1,172.95
  6. Step 6: Final answer
    x = 460.89

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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.