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Finding the Fourth Proportional to 860.63, 1,290.94 and 313.07

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Solution

The fourth proportional to 860.63, 1,290.94 and 313.07 is: 469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.63 : 1,290.94 = 313.07 : x
  2. Step 2: Convert to fraction form
    860.63/1,290.94 = 313.07/x
  3. Step 3: Cross multiply
    860.63x = 1,290.94 × 313.07
  4. Step 4: Simplify right side
    860.63x = 404,147.35
  5. Step 5: Solve for x
    x = 404,147.35/860.63
  6. Step 6: Final answer
    x = 469.60

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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.