Home / 1,048.23-1,572.37-500.47

Finding the Fourth Proportional to 1,048.23, 1,572.37 and 500.47

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Solution

The fourth proportional to 1,048.23, 1,572.37 and 500.47 is: 750.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.23 : 1,572.37 = 500.47 : x
  2. Step 2: Convert to fraction form
    1,048.23/1,572.37 = 500.47/x
  3. Step 3: Cross multiply
    1,048.23x = 1,572.37 × 500.47
  4. Step 4: Simplify right side
    1,048.23x = 786,918.83
  5. Step 5: Solve for x
    x = 786,918.83/1,048.23
  6. Step 6: Final answer
    x = 750.71

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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.