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Finding the Fourth Proportional to 985.12, 1,477.76 and 552.48

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Solution

The fourth proportional to 985.12, 1,477.76 and 552.48 is: 828.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.12 : 1,477.76 = 552.48 : x
  2. Step 2: Convert to fraction form
    985.12/1,477.76 = 552.48/x
  3. Step 3: Cross multiply
    985.12x = 1,477.76 × 552.48
  4. Step 4: Simplify right side
    985.12x = 816,432.84
  5. Step 5: Solve for x
    x = 816,432.84/985.12
  6. Step 6: Final answer
    x = 828.76

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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.