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Finding the Fourth Proportional to 1,307.01, 1,959.72 and 613.83

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Solution

The fourth proportional to 1,307.01, 1,959.72 and 613.83 is: 920.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.01 : 1,959.72 = 613.83 : x
  2. Step 2: Convert to fraction form
    1,307.01/1,959.72 = 613.83/x
  3. Step 3: Cross multiply
    1,307.01x = 1,959.72 × 613.83
  4. Step 4: Simplify right side
    1,307.01x = 1,202,934.93
  5. Step 5: Solve for x
    x = 1,202,934.93/1,307.01
  6. Step 6: Final answer
    x = 920.37

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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.