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Finding the Fourth Proportional to 1,307.00, 1,958.90 and 690.31

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Solution

The fourth proportional to 1,307.00, 1,958.90 and 690.31 is: 1,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.00 : 1,958.90 = 690.31 : x
  2. Step 2: Convert to fraction form
    1,307.00/1,958.90 = 690.31/x
  3. Step 3: Cross multiply
    1,307.00x = 1,958.90 × 690.31
  4. Step 4: Simplify right side
    1,307.00x = 1,352,249.84
  5. Step 5: Solve for x
    x = 1,352,249.84/1,307.00
  6. Step 6: Final answer
    x = 1,034.62

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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.