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Finding the Fourth Proportional to 933.56, 1,288.34 and 513.93

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Solution

The fourth proportional to 933.56, 1,288.34 and 513.93 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.56 : 1,288.34 = 513.93 : x
  2. Step 2: Convert to fraction form
    933.56/1,288.34 = 513.93/x
  3. Step 3: Cross multiply
    933.56x = 1,288.34 × 513.93
  4. Step 4: Simplify right side
    933.56x = 662,114.01
  5. Step 5: Solve for x
    x = 662,114.01/933.56
  6. Step 6: Final answer
    x = 709.24

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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.