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Finding the Fourth Proportional to 933.65, 1,398.92 and 658.45

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Solution

The fourth proportional to 933.65, 1,398.92 and 658.45 is: 986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.65 : 1,398.92 = 658.45 : x
  2. Step 2: Convert to fraction form
    933.65/1,398.92 = 658.45/x
  3. Step 3: Cross multiply
    933.65x = 1,398.92 × 658.45
  4. Step 4: Simplify right side
    933.65x = 921,112.08
  5. Step 5: Solve for x
    x = 921,112.08/933.65
  6. Step 6: Final answer
    x = 986.58

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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.