Home / 1,278.02-1,917.18-456.14

Finding the Fourth Proportional to 1,278.02, 1,917.18 and 456.14

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Solution

The fourth proportional to 1,278.02, 1,917.18 and 456.14 is: 684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.02 : 1,917.18 = 456.14 : x
  2. Step 2: Convert to fraction form
    1,278.02/1,917.18 = 456.14/x
  3. Step 3: Cross multiply
    1,278.02x = 1,917.18 × 456.14
  4. Step 4: Simplify right side
    1,278.02x = 874,502.49
  5. Step 5: Solve for x
    x = 874,502.49/1,278.02
  6. Step 6: Final answer
    x = 684.26

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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.