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Finding the Fourth Proportional to 1,449.76, 2,000.63 and 802.97

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Solution

The fourth proportional to 1,449.76, 2,000.63 and 802.97 is: 1,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.76 : 2,000.63 = 802.97 : x
  2. Step 2: Convert to fraction form
    1,449.76/2,000.63 = 802.97/x
  3. Step 3: Cross multiply
    1,449.76x = 2,000.63 × 802.97
  4. Step 4: Simplify right side
    1,449.76x = 1,606,442.86
  5. Step 5: Solve for x
    x = 1,606,442.86/1,449.76
  6. Step 6: Final answer
    x = 1,108.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.