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Finding the Fourth Proportional to 745.68, 1,027.24 and 524.20

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Solution

The fourth proportional to 745.68, 1,027.24 and 524.20 is: 722.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.68 : 1,027.24 = 524.20 : x
  2. Step 2: Convert to fraction form
    745.68/1,027.24 = 524.20/x
  3. Step 3: Cross multiply
    745.68x = 1,027.24 × 524.20
  4. Step 4: Simplify right side
    745.68x = 538,479.21
  5. Step 5: Solve for x
    x = 538,479.21/745.68
  6. Step 6: Final answer
    x = 722.13

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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.