Home / 1,288.08-1,931.70-507.90

Finding the Fourth Proportional to 1,288.08, 1,931.70 and 507.90

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Solution

The fourth proportional to 1,288.08, 1,931.70 and 507.90 is: 761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.08 : 1,931.70 = 507.90 : x
  2. Step 2: Convert to fraction form
    1,288.08/1,931.70 = 507.90/x
  3. Step 3: Cross multiply
    1,288.08x = 1,931.70 × 507.90
  4. Step 4: Simplify right side
    1,288.08x = 981,110.43
  5. Step 5: Solve for x
    x = 981,110.43/1,288.08
  6. Step 6: Final answer
    x = 761.68

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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.