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Finding the Fourth Proportional to 2,305.48, 3,457.50 and 1,006.60

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Solution

The fourth proportional to 2,305.48, 3,457.50 and 1,006.60 is: 1,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.48 : 3,457.50 = 1,006.60 : x
  2. Step 2: Convert to fraction form
    2,305.48/3,457.50 = 1,006.60/x
  3. Step 3: Cross multiply
    2,305.48x = 3,457.50 × 1,006.60
  4. Step 4: Simplify right side
    2,305.48x = 3,480,319.50
  5. Step 5: Solve for x
    x = 3,480,319.50/2,305.48
  6. Step 6: Final answer
    x = 1,509.59

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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.