Home / 1,289.02-1,932.80-508.10

Finding the Fourth Proportional to 1,289.02, 1,932.80 and 508.10

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Solution

The fourth proportional to 1,289.02, 1,932.80 and 508.10 is: 761.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.02 : 1,932.80 = 508.10 : x
  2. Step 2: Convert to fraction form
    1,289.02/1,932.80 = 508.10/x
  3. Step 3: Cross multiply
    1,289.02x = 1,932.80 × 508.10
  4. Step 4: Simplify right side
    1,289.02x = 982,055.68
  5. Step 5: Solve for x
    x = 982,055.68/1,289.02
  6. Step 6: Final answer
    x = 761.86

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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.