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Finding the Fourth Proportional to 2,444.43, 3,666.48 and 802.05

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Solution

The fourth proportional to 2,444.43, 3,666.48 and 802.05 is: 1,203.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.43 : 3,666.48 = 802.05 : x
  2. Step 2: Convert to fraction form
    2,444.43/3,666.48 = 802.05/x
  3. Step 3: Cross multiply
    2,444.43x = 3,666.48 × 802.05
  4. Step 4: Simplify right side
    2,444.43x = 2,940,700.28
  5. Step 5: Solve for x
    x = 2,940,700.28/2,444.43
  6. Step 6: Final answer
    x = 1,203.02

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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.