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Finding the Fourth Proportional to 1,295.61, 1,942.20 and 645.59

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Solution

The fourth proportional to 1,295.61, 1,942.20 and 645.59 is: 967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.61 : 1,942.20 = 645.59 : x
  2. Step 2: Convert to fraction form
    1,295.61/1,942.20 = 645.59/x
  3. Step 3: Cross multiply
    1,295.61x = 1,942.20 × 645.59
  4. Step 4: Simplify right side
    1,295.61x = 1,253,855.19
  5. Step 5: Solve for x
    x = 1,253,855.19/1,295.61
  6. Step 6: Final answer
    x = 967.77

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1.5x scale

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.