Home / 1,114.10-1,671.15-420.58

Finding the Fourth Proportional to 1,114.10, 1,671.15 and 420.58

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Solution

The fourth proportional to 1,114.10, 1,671.15 and 420.58 is: 630.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.10 : 1,671.15 = 420.58 : x
  2. Step 2: Convert to fraction form
    1,114.10/1,671.15 = 420.58/x
  3. Step 3: Cross multiply
    1,114.10x = 1,671.15 × 420.58
  4. Step 4: Simplify right side
    1,114.10x = 702,855.93
  5. Step 5: Solve for x
    x = 702,855.93/1,114.10
  6. Step 6: Final answer
    x = 630.87

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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.