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Finding the Fourth Proportional to 497.81, 745.64 and 312.09

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Solution

The fourth proportional to 497.81, 745.64 and 312.09 is: 467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.81 : 745.64 = 312.09 : x
  2. Step 2: Convert to fraction form
    497.81/745.64 = 312.09/x
  3. Step 3: Cross multiply
    497.81x = 745.64 × 312.09
  4. Step 4: Simplify right side
    497.81x = 232,703.60
  5. Step 5: Solve for x
    x = 232,703.60/497.81
  6. Step 6: Final answer
    x = 467.45

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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.