Home / 1,477.10-2,213.64-696.98

Finding the Fourth Proportional to 1,477.10, 2,213.64 and 696.98

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Solution

The fourth proportional to 1,477.10, 2,213.64 and 696.98 is: 1,044.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.10 : 2,213.64 = 696.98 : x
  2. Step 2: Convert to fraction form
    1,477.10/2,213.64 = 696.98/x
  3. Step 3: Cross multiply
    1,477.10x = 2,213.64 × 696.98
  4. Step 4: Simplify right side
    1,477.10x = 1,542,862.81
  5. Step 5: Solve for x
    x = 1,542,862.81/1,477.10
  6. Step 6: Final answer
    x = 1,044.52

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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.