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Finding the Fourth Proportional to 904.23, 1,355.85 and 319.19

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Solution

The fourth proportional to 904.23, 1,355.85 and 319.19 is: 478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.23 : 1,355.85 = 319.19 : x
  2. Step 2: Convert to fraction form
    904.23/1,355.85 = 319.19/x
  3. Step 3: Cross multiply
    904.23x = 1,355.85 × 319.19
  4. Step 4: Simplify right side
    904.23x = 432,766.98
  5. Step 5: Solve for x
    x = 432,766.98/904.23
  6. Step 6: Final answer
    x = 478.60

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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.