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Finding the Fourth Proportional to 741.16, 1,021.94 and 478.92

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Solution

The fourth proportional to 741.16, 1,021.94 and 478.92 is: 660.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.16 : 1,021.94 = 478.92 : x
  2. Step 2: Convert to fraction form
    741.16/1,021.94 = 478.92/x
  3. Step 3: Cross multiply
    741.16x = 1,021.94 × 478.92
  4. Step 4: Simplify right side
    741.16x = 489,427.50
  5. Step 5: Solve for x
    x = 489,427.50/741.16
  6. Step 6: Final answer
    x = 660.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.