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Finding the Fourth Proportional to 985.95, 1,478.76 and 255.50

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Solution

The fourth proportional to 985.95, 1,478.76 and 255.50 is: 383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.95 : 1,478.76 = 255.50 : x
  2. Step 2: Convert to fraction form
    985.95/1,478.76 = 255.50/x
  3. Step 3: Cross multiply
    985.95x = 1,478.76 × 255.50
  4. Step 4: Simplify right side
    985.95x = 377,823.18
  5. Step 5: Solve for x
    x = 377,823.18/985.95
  6. Step 6: Final answer
    x = 383.21

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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.