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Finding the Fourth Proportional to 860.23, 1,290.46 and 312.67

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Solution

The fourth proportional to 860.23, 1,290.46 and 312.67 is: 469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.23 : 1,290.46 = 312.67 : x
  2. Step 2: Convert to fraction form
    860.23/1,290.46 = 312.67/x
  3. Step 3: Cross multiply
    860.23x = 1,290.46 × 312.67
  4. Step 4: Simplify right side
    860.23x = 403,488.13
  5. Step 5: Solve for x
    x = 403,488.13/860.23
  6. Step 6: Final answer
    x = 469.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.