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Finding the Fourth Proportional to 1,636.70, 2,457.05 and 760.05

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Solution

The fourth proportional to 1,636.70, 2,457.05 and 760.05 is: 1,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.70 : 2,457.05 = 760.05 : x
  2. Step 2: Convert to fraction form
    1,636.70/2,457.05 = 760.05/x
  3. Step 3: Cross multiply
    1,636.70x = 2,457.05 × 760.05
  4. Step 4: Simplify right side
    1,636.70x = 1,867,477.05
  5. Step 5: Solve for x
    x = 1,867,477.05/1,636.70
  6. Step 6: Final answer
    x = 1,141.00

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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.