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Finding the Fourth Proportional to 745.36, 1,027.95 and 524.23

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Solution

The fourth proportional to 745.36, 1,027.95 and 524.23 is: 722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.36 : 1,027.95 = 524.23 : x
  2. Step 2: Convert to fraction form
    745.36/1,027.95 = 524.23/x
  3. Step 3: Cross multiply
    745.36x = 1,027.95 × 524.23
  4. Step 4: Simplify right side
    745.36x = 538,882.23
  5. Step 5: Solve for x
    x = 538,882.23/745.36
  6. Step 6: Final answer
    x = 722.98

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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.