Home / 1,285.02-1,926.72-463.14

Finding the Fourth Proportional to 1,285.02, 1,926.72 and 463.14

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Solution

The fourth proportional to 1,285.02, 1,926.72 and 463.14 is: 694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.02 : 1,926.72 = 463.14 : x
  2. Step 2: Convert to fraction form
    1,285.02/1,926.72 = 463.14/x
  3. Step 3: Cross multiply
    1,285.02x = 1,926.72 × 463.14
  4. Step 4: Simplify right side
    1,285.02x = 892,341.10
  5. Step 5: Solve for x
    x = 892,341.10/1,285.02
  6. Step 6: Final answer
    x = 694.42

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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.