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Finding the Fourth Proportional to 1,114.95, 1,672.44 and 421.94

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Solution

The fourth proportional to 1,114.95, 1,672.44 and 421.94 is: 632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.95 : 1,672.44 = 421.94 : x
  2. Step 2: Convert to fraction form
    1,114.95/1,672.44 = 421.94/x
  3. Step 3: Cross multiply
    1,114.95x = 1,672.44 × 421.94
  4. Step 4: Simplify right side
    1,114.95x = 705,677.44
  5. Step 5: Solve for x
    x = 705,677.44/1,114.95
  6. Step 6: Final answer
    x = 632.92

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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.