Home / 1,309.96-1,964.88-508.60

Finding the Fourth Proportional to 1,309.96, 1,964.88 and 508.60

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Solution

The fourth proportional to 1,309.96, 1,964.88 and 508.60 is: 762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.96 : 1,964.88 = 508.60 : x
  2. Step 2: Convert to fraction form
    1,309.96/1,964.88 = 508.60/x
  3. Step 3: Cross multiply
    1,309.96x = 1,964.88 × 508.60
  4. Step 4: Simplify right side
    1,309.96x = 999,337.97
  5. Step 5: Solve for x
    x = 999,337.97/1,309.96
  6. Step 6: Final answer
    x = 762.88

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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.