Home / 1,210.32-1,815.21-507.78

Finding the Fourth Proportional to 1,210.32, 1,815.21 and 507.78

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Solution

The fourth proportional to 1,210.32, 1,815.21 and 507.78 is: 761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.32 : 1,815.21 = 507.78 : x
  2. Step 2: Convert to fraction form
    1,210.32/1,815.21 = 507.78/x
  3. Step 3: Cross multiply
    1,210.32x = 1,815.21 × 507.78
  4. Step 4: Simplify right side
    1,210.32x = 921,727.33
  5. Step 5: Solve for x
    x = 921,727.33/1,210.32
  6. Step 6: Final answer
    x = 761.56

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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.