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Finding the Fourth Proportional to 1,775.76, 2,661.48 and 802.32

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Solution

The fourth proportional to 1,775.76, 2,661.48 and 802.32 is: 1,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.76 : 2,661.48 = 802.32 : x
  2. Step 2: Convert to fraction form
    1,775.76/2,661.48 = 802.32/x
  3. Step 3: Cross multiply
    1,775.76x = 2,661.48 × 802.32
  4. Step 4: Simplify right side
    1,775.76x = 2,135,358.63
  5. Step 5: Solve for x
    x = 2,135,358.63/1,775.76
  6. Step 6: Final answer
    x = 1,202.50

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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.