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Finding the Fourth Proportional to 985.05, 1,478.06 and 465.03

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Solution

The fourth proportional to 985.05, 1,478.06 and 465.03 is: 697.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.05 : 1,478.06 = 465.03 : x
  2. Step 2: Convert to fraction form
    985.05/1,478.06 = 465.03/x
  3. Step 3: Cross multiply
    985.05x = 1,478.06 × 465.03
  4. Step 4: Simplify right side
    985.05x = 687,342.24
  5. Step 5: Solve for x
    x = 687,342.24/985.05
  6. Step 6: Final answer
    x = 697.77

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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.