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Finding the Fourth Proportional to 1,511.15, 2,266.83 and 586.31

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Solution

The fourth proportional to 1,511.15, 2,266.83 and 586.31 is: 879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.15 : 2,266.83 = 586.31 : x
  2. Step 2: Convert to fraction form
    1,511.15/2,266.83 = 586.31/x
  3. Step 3: Cross multiply
    1,511.15x = 2,266.83 × 586.31
  4. Step 4: Simplify right side
    1,511.15x = 1,329,053.76
  5. Step 5: Solve for x
    x = 1,329,053.76/1,511.15
  6. Step 6: Final answer
    x = 879.50

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1.5x scale

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.