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Finding the Fourth Proportional to 1,152.64, 1,729.07 and 459.15

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Solution

The fourth proportional to 1,152.64, 1,729.07 and 459.15 is: 688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.64 : 1,729.07 = 459.15 : x
  2. Step 2: Convert to fraction form
    1,152.64/1,729.07 = 459.15/x
  3. Step 3: Cross multiply
    1,152.64x = 1,729.07 × 459.15
  4. Step 4: Simplify right side
    1,152.64x = 793,902.49
  5. Step 5: Solve for x
    x = 793,902.49/1,152.64
  6. Step 6: Final answer
    x = 688.77

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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.