Home / 1,057.36-1,583.90-536.64

Finding the Fourth Proportional to 1,057.36, 1,583.90 and 536.64

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Solution

The fourth proportional to 1,057.36, 1,583.90 and 536.64 is: 803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.36 : 1,583.90 = 536.64 : x
  2. Step 2: Convert to fraction form
    1,057.36/1,583.90 = 536.64/x
  3. Step 3: Cross multiply
    1,057.36x = 1,583.90 × 536.64
  4. Step 4: Simplify right side
    1,057.36x = 849,984.10
  5. Step 5: Solve for x
    x = 849,984.10/1,057.36
  6. Step 6: Final answer
    x = 803.87

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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.