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Finding the Fourth Proportional to 1,904.16, 2,855.74 and 654.74

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Solution

The fourth proportional to 1,904.16, 2,855.74 and 654.74 is: 981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.16 : 2,855.74 = 654.74 : x
  2. Step 2: Convert to fraction form
    1,904.16/2,855.74 = 654.74/x
  3. Step 3: Cross multiply
    1,904.16x = 2,855.74 × 654.74
  4. Step 4: Simplify right side
    1,904.16x = 1,869,767.21
  5. Step 5: Solve for x
    x = 1,869,767.21/1,904.16
  6. Step 6: Final answer
    x = 981.94

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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.