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Finding the Fourth Proportional to 985.19, 1,477.58 and 464.96

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Solution

The fourth proportional to 985.19, 1,477.58 and 464.96 is: 697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.19 : 1,477.58 = 464.96 : x
  2. Step 2: Convert to fraction form
    985.19/1,477.58 = 464.96/x
  3. Step 3: Cross multiply
    985.19x = 1,477.58 × 464.96
  4. Step 4: Simplify right side
    985.19x = 687,016.97
  5. Step 5: Solve for x
    x = 687,016.97/985.19
  6. Step 6: Final answer
    x = 697.35

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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.