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Finding the Fourth Proportional to 1,263.76, 1,895.74 and 386.34

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Solution

The fourth proportional to 1,263.76, 1,895.74 and 386.34 is: 579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.76 : 1,895.74 = 386.34 : x
  2. Step 2: Convert to fraction form
    1,263.76/1,895.74 = 386.34/x
  3. Step 3: Cross multiply
    1,263.76x = 1,895.74 × 386.34
  4. Step 4: Simplify right side
    1,263.76x = 732,400.19
  5. Step 5: Solve for x
    x = 732,400.19/1,263.76
  6. Step 6: Final answer
    x = 579.54

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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.