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Finding the Fourth Proportional to 1,152.50, 1,728.77 and 459

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Solution

The fourth proportional to 1,152.50, 1,728.77 and 459 is: 688.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.50 : 1,728.77 = 459 : x
  2. Step 2: Convert to fraction form
    1,152.50/1,728.77 = 459/x
  3. Step 3: Cross multiply
    1,152.50x = 1,728.77 × 459
  4. Step 4: Simplify right side
    1,152.50x = 793,503.14
  5. Step 5: Solve for x
    x = 793,503.14/1,152.50
  6. Step 6: Final answer
    x = 688.51

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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.