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Finding the Fourth Proportional to 1,225.99, 1,838.98 and 360.91

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Solution

The fourth proportional to 1,225.99, 1,838.98 and 360.91 is: 541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.99 : 1,838.98 = 360.91 : x
  2. Step 2: Convert to fraction form
    1,225.99/1,838.98 = 360.91/x
  3. Step 3: Cross multiply
    1,225.99x = 1,838.98 × 360.91
  4. Step 4: Simplify right side
    1,225.99x = 663,697.08
  5. Step 5: Solve for x
    x = 663,697.08/1,225.99
  6. Step 6: Final answer
    x = 541.36

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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.