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Finding the Fourth Proportional to 531.05, 795.79 and 465.89

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Solution

The fourth proportional to 531.05, 795.79 and 465.89 is: 698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.05 : 795.79 = 465.89 : x
  2. Step 2: Convert to fraction form
    531.05/795.79 = 465.89/x
  3. Step 3: Cross multiply
    531.05x = 795.79 × 465.89
  4. Step 4: Simplify right side
    531.05x = 370,745.46
  5. Step 5: Solve for x
    x = 370,745.46/531.05
  6. Step 6: Final answer
    x = 698.14

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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.