Home / 1,289.04-1,932.22-507.98

Finding the Fourth Proportional to 1,289.04, 1,932.22 and 507.98

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Solution

The fourth proportional to 1,289.04, 1,932.22 and 507.98 is: 761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.04 : 1,932.22 = 507.98 : x
  2. Step 2: Convert to fraction form
    1,289.04/1,932.22 = 507.98/x
  3. Step 3: Cross multiply
    1,289.04x = 1,932.22 × 507.98
  4. Step 4: Simplify right side
    1,289.04x = 981,530.39
  5. Step 5: Solve for x
    x = 981,530.39/1,289.04
  6. Step 6: Final answer
    x = 761.45

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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.