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Finding the Fourth Proportional to 1,925.05, 2,887.58 and 464.21

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Solution

The fourth proportional to 1,925.05, 2,887.58 and 464.21 is: 696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.05 : 2,887.58 = 464.21 : x
  2. Step 2: Convert to fraction form
    1,925.05/2,887.58 = 464.21/x
  3. Step 3: Cross multiply
    1,925.05x = 2,887.58 × 464.21
  4. Step 4: Simplify right side
    1,925.05x = 1,340,443.51
  5. Step 5: Solve for x
    x = 1,340,443.51/1,925.05
  6. Step 6: Final answer
    x = 696.32

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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.