Home / 1,023.26-1,412.09-557.50

Finding the Fourth Proportional to 1,023.26, 1,412.09 and 557.50

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Solution

The fourth proportional to 1,023.26, 1,412.09 and 557.50 is: 769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.26 : 1,412.09 = 557.50 : x
  2. Step 2: Convert to fraction form
    1,023.26/1,412.09 = 557.50/x
  3. Step 3: Cross multiply
    1,023.26x = 1,412.09 × 557.50
  4. Step 4: Simplify right side
    1,023.26x = 787,240.18
  5. Step 5: Solve for x
    x = 787,240.18/1,023.26
  6. Step 6: Final answer
    x = 769.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.