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Finding the Fourth Proportional to 1,035.95, 1,554.21 and 305.55

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Solution

The fourth proportional to 1,035.95, 1,554.21 and 305.55 is: 458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.95 : 1,554.21 = 305.55 : x
  2. Step 2: Convert to fraction form
    1,035.95/1,554.21 = 305.55/x
  3. Step 3: Cross multiply
    1,035.95x = 1,554.21 × 305.55
  4. Step 4: Simplify right side
    1,035.95x = 474,888.87
  5. Step 5: Solve for x
    x = 474,888.87/1,035.95
  6. Step 6: Final answer
    x = 458.41

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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.