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Finding the Fourth Proportional to 1,307.27, 1,960.23 and 689.42

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Solution

The fourth proportional to 1,307.27, 1,960.23 and 689.42 is: 1,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.27 : 1,960.23 = 689.42 : x
  2. Step 2: Convert to fraction form
    1,307.27/1,960.23 = 689.42/x
  3. Step 3: Cross multiply
    1,307.27x = 1,960.23 × 689.42
  4. Step 4: Simplify right side
    1,307.27x = 1,351,421.77
  5. Step 5: Solve for x
    x = 1,351,421.77/1,307.27
  6. Step 6: Final answer
    x = 1,033.77

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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.