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Finding the Fourth Proportional to 1,307.13, 1,960.29 and 648.33

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Solution

The fourth proportional to 1,307.13, 1,960.29 and 648.33 is: 972.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.13 : 1,960.29 = 648.33 : x
  2. Step 2: Convert to fraction form
    1,307.13/1,960.29 = 648.33/x
  3. Step 3: Cross multiply
    1,307.13x = 1,960.29 × 648.33
  4. Step 4: Simplify right side
    1,307.13x = 1,270,914.82
  5. Step 5: Solve for x
    x = 1,270,914.82/1,307.13
  6. Step 6: Final answer
    x = 972.29

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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.