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Finding the Fourth Proportional to 894.40, 1,342.12 and 346.55

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Solution

The fourth proportional to 894.40, 1,342.12 and 346.55 is: 520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.40 : 1,342.12 = 346.55 : x
  2. Step 2: Convert to fraction form
    894.40/1,342.12 = 346.55/x
  3. Step 3: Cross multiply
    894.40x = 1,342.12 × 346.55
  4. Step 4: Simplify right side
    894.40x = 465,111.69
  5. Step 5: Solve for x
    x = 465,111.69/894.40
  6. Step 6: Final answer
    x = 520.03

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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.