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Finding the Fourth Proportional to 1,776.64, 2,665.41 and 802.51

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Solution

The fourth proportional to 1,776.64, 2,665.41 and 802.51 is: 1,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.64 : 2,665.41 = 802.51 : x
  2. Step 2: Convert to fraction form
    1,776.64/2,665.41 = 802.51/x
  3. Step 3: Cross multiply
    1,776.64x = 2,665.41 × 802.51
  4. Step 4: Simplify right side
    1,776.64x = 2,139,018.18
  5. Step 5: Solve for x
    x = 2,139,018.18/1,776.64
  6. Step 6: Final answer
    x = 1,203.97

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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.