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Finding the Fourth Proportional to 894.15, 1,340.78 and 373.99

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Solution

The fourth proportional to 894.15, 1,340.78 and 373.99 is: 560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.15 : 1,340.78 = 373.99 : x
  2. Step 2: Convert to fraction form
    894.15/1,340.78 = 373.99/x
  3. Step 3: Cross multiply
    894.15x = 1,340.78 × 373.99
  4. Step 4: Simplify right side
    894.15x = 501,438.31
  5. Step 5: Solve for x
    x = 501,438.31/894.15
  6. Step 6: Final answer
    x = 560.80

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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.