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Finding the Fourth Proportional to 894.61, 1,342.01 and 245.35

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Solution

The fourth proportional to 894.61, 1,342.01 and 245.35 is: 368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.61 : 1,342.01 = 245.35 : x
  2. Step 2: Convert to fraction form
    894.61/1,342.01 = 245.35/x
  3. Step 3: Cross multiply
    894.61x = 1,342.01 × 245.35
  4. Step 4: Simplify right side
    894.61x = 329,257.57
  5. Step 5: Solve for x
    x = 329,257.57/894.61
  6. Step 6: Final answer
    x = 368.05

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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.