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Finding the Fourth Proportional to 894.16, 1,339.98 and 460.78

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Solution

The fourth proportional to 894.16, 1,339.98 and 460.78 is: 690.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.16 : 1,339.98 = 460.78 : x
  2. Step 2: Convert to fraction form
    894.16/1,339.98 = 460.78/x
  3. Step 3: Cross multiply
    894.16x = 1,339.98 × 460.78
  4. Step 4: Simplify right side
    894.16x = 617,435.98
  5. Step 5: Solve for x
    x = 617,435.98/894.16
  6. Step 6: Final answer
    x = 690.52

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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.