Home / 1,511.02-2,264.89-586.30

Finding the Fourth Proportional to 1,511.02, 2,264.89 and 586.30

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Solution

The fourth proportional to 1,511.02, 2,264.89 and 586.30 is: 878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.02 : 2,264.89 = 586.30 : x
  2. Step 2: Convert to fraction form
    1,511.02/2,264.89 = 586.30/x
  3. Step 3: Cross multiply
    1,511.02x = 2,264.89 × 586.30
  4. Step 4: Simplify right side
    1,511.02x = 1,327,905.01
  5. Step 5: Solve for x
    x = 1,327,905.01/1,511.02
  6. Step 6: Final answer
    x = 878.81

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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.