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Finding the Fourth Proportional to 1,607.00, 2,217.65 and 898.84

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Solution

The fourth proportional to 1,607.00, 2,217.65 and 898.84 is: 1,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.00 : 2,217.65 = 898.84 : x
  2. Step 2: Convert to fraction form
    1,607.00/2,217.65 = 898.84/x
  3. Step 3: Cross multiply
    1,607.00x = 2,217.65 × 898.84
  4. Step 4: Simplify right side
    1,607.00x = 1,993,325.89
  5. Step 5: Solve for x
    x = 1,993,325.89/1,607.00
  6. Step 6: Final answer
    x = 1,240.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.