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Finding the Fourth Proportional to 933.58, 1,288.33 and 513.93

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Solution

The fourth proportional to 933.58, 1,288.33 and 513.93 is: 709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.58 : 1,288.33 = 513.93 : x
  2. Step 2: Convert to fraction form
    933.58/1,288.33 = 513.93/x
  3. Step 3: Cross multiply
    933.58x = 1,288.33 × 513.93
  4. Step 4: Simplify right side
    933.58x = 662,110.15
  5. Step 5: Solve for x
    x = 662,110.15/933.58
  6. Step 6: Final answer
    x = 709.22

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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.