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Finding the Fourth Proportional to 1,358.85, 1,872.53 and 964.77

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Solution

The fourth proportional to 1,358.85, 1,872.53 and 964.77 is: 1,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.85 : 1,872.53 = 964.77 : x
  2. Step 2: Convert to fraction form
    1,358.85/1,872.53 = 964.77/x
  3. Step 3: Cross multiply
    1,358.85x = 1,872.53 × 964.77
  4. Step 4: Simplify right side
    1,358.85x = 1,806,555.94
  5. Step 5: Solve for x
    x = 1,806,555.94/1,358.85
  6. Step 6: Final answer
    x = 1,329.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.