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Finding the Fourth Proportional to 1,728.02, 2,588.60 and 802.30

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Solution

The fourth proportional to 1,728.02, 2,588.60 and 802.30 is: 1,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.02 : 2,588.60 = 802.30 : x
  2. Step 2: Convert to fraction form
    1,728.02/2,588.60 = 802.30/x
  3. Step 3: Cross multiply
    1,728.02x = 2,588.60 × 802.30
  4. Step 4: Simplify right side
    1,728.02x = 2,076,833.78
  5. Step 5: Solve for x
    x = 2,076,833.78/1,728.02
  6. Step 6: Final answer
    x = 1,201.86

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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.