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Finding the Fourth Proportional to 1,920.95, 2,881.47 and 604.69

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Solution

The fourth proportional to 1,920.95, 2,881.47 and 604.69 is: 907.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.95 : 2,881.47 = 604.69 : x
  2. Step 2: Convert to fraction form
    1,920.95/2,881.47 = 604.69/x
  3. Step 3: Cross multiply
    1,920.95x = 2,881.47 × 604.69
  4. Step 4: Simplify right side
    1,920.95x = 1,742,396.09
  5. Step 5: Solve for x
    x = 1,742,396.09/1,920.95
  6. Step 6: Final answer
    x = 907.05

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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.