Home / 1,464.58-2,197.32-598.96

Finding the Fourth Proportional to 1,464.58, 2,197.32 and 598.96

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Solution

The fourth proportional to 1,464.58, 2,197.32 and 598.96 is: 898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.58 : 2,197.32 = 598.96 : x
  2. Step 2: Convert to fraction form
    1,464.58/2,197.32 = 598.96/x
  3. Step 3: Cross multiply
    1,464.58x = 2,197.32 × 598.96
  4. Step 4: Simplify right side
    1,464.58x = 1,316,106.79
  5. Step 5: Solve for x
    x = 1,316,106.79/1,464.58
  6. Step 6: Final answer
    x = 898.62

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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.