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Finding the Fourth Proportional to 1,637.34, 2,456.61 and 760.26

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Solution

The fourth proportional to 1,637.34, 2,456.61 and 760.26 is: 1,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.34 : 2,456.61 = 760.26 : x
  2. Step 2: Convert to fraction form
    1,637.34/2,456.61 = 760.26/x
  3. Step 3: Cross multiply
    1,637.34x = 2,456.61 × 760.26
  4. Step 4: Simplify right side
    1,637.34x = 1,867,662.32
  5. Step 5: Solve for x
    x = 1,867,662.32/1,637.34
  6. Step 6: Final answer
    x = 1,140.67

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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.