Home / 1,287.83-1,931.85-507.87

Finding the Fourth Proportional to 1,287.83, 1,931.85 and 507.87

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Solution

The fourth proportional to 1,287.83, 1,931.85 and 507.87 is: 761.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.83 : 1,931.85 = 507.87 : x
  2. Step 2: Convert to fraction form
    1,287.83/1,931.85 = 507.87/x
  3. Step 3: Cross multiply
    1,287.83x = 1,931.85 × 507.87
  4. Step 4: Simplify right side
    1,287.83x = 981,128.66
  5. Step 5: Solve for x
    x = 981,128.66/1,287.83
  6. Step 6: Final answer
    x = 761.84

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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.