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Finding the Fourth Proportional to 745.64, 1,028.88 and 497.12

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Solution

The fourth proportional to 745.64, 1,028.88 and 497.12 is: 685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.64 : 1,028.88 = 497.12 : x
  2. Step 2: Convert to fraction form
    745.64/1,028.88 = 497.12/x
  3. Step 3: Cross multiply
    745.64x = 1,028.88 × 497.12
  4. Step 4: Simplify right side
    745.64x = 511,476.83
  5. Step 5: Solve for x
    x = 511,476.83/745.64
  6. Step 6: Final answer
    x = 685.96

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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.