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Finding the Fourth Proportional to 1,307.19, 1,961 and 649.09

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Solution

The fourth proportional to 1,307.19, 1,961 and 649.09 is: 973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.19 : 1,961 = 649.09 : x
  2. Step 2: Convert to fraction form
    1,307.19/1,961 = 649.09/x
  3. Step 3: Cross multiply
    1,307.19x = 1,961 × 649.09
  4. Step 4: Simplify right side
    1,307.19x = 1,272,865.49
  5. Step 5: Solve for x
    x = 1,272,865.49/1,307.19
  6. Step 6: Final answer
    x = 973.74

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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.