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Finding the Fourth Proportional to 948.78, 1,424.85 and 608.94

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Solution

The fourth proportional to 948.78, 1,424.85 and 608.94 is: 914.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.78 : 1,424.85 = 608.94 : x
  2. Step 2: Convert to fraction form
    948.78/1,424.85 = 608.94/x
  3. Step 3: Cross multiply
    948.78x = 1,424.85 × 608.94
  4. Step 4: Simplify right side
    948.78x = 867,648.16
  5. Step 5: Solve for x
    x = 867,648.16/948.78
  6. Step 6: Final answer
    x = 914.49

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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.