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Finding the Fourth Proportional to 921.29, 1,381.93 and 459.64

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Solution

The fourth proportional to 921.29, 1,381.93 and 459.64 is: 689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.29 : 1,381.93 = 459.64 : x
  2. Step 2: Convert to fraction form
    921.29/1,381.93 = 459.64/x
  3. Step 3: Cross multiply
    921.29x = 1,381.93 × 459.64
  4. Step 4: Simplify right side
    921.29x = 635,183.40
  5. Step 5: Solve for x
    x = 635,183.40/921.29
  6. Step 6: Final answer
    x = 689.45

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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.