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Finding the Fourth Proportional to 1,358.70, 1,876.23 and 835.62

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Solution

The fourth proportional to 1,358.70, 1,876.23 and 835.62 is: 1,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.70 : 1,876.23 = 835.62 : x
  2. Step 2: Convert to fraction form
    1,358.70/1,876.23 = 835.62/x
  3. Step 3: Cross multiply
    1,358.70x = 1,876.23 × 835.62
  4. Step 4: Simplify right side
    1,358.70x = 1,567,815.31
  5. Step 5: Solve for x
    x = 1,567,815.31/1,358.70
  6. Step 6: Final answer
    x = 1,153.91

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1.5x scale

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.