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Finding the Fourth Proportional to 904.19, 1,355.64 and 319.07

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Solution

The fourth proportional to 904.19, 1,355.64 and 319.07 is: 478.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.19 : 1,355.64 = 319.07 : x
  2. Step 2: Convert to fraction form
    904.19/1,355.64 = 319.07/x
  3. Step 3: Cross multiply
    904.19x = 1,355.64 × 319.07
  4. Step 4: Simplify right side
    904.19x = 432,544.05
  5. Step 5: Solve for x
    x = 432,544.05/904.19
  6. Step 6: Final answer
    x = 478.38

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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.