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Finding the Fourth Proportional to 1,320.03, 1,821.54 and 730.51

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Solution

The fourth proportional to 1,320.03, 1,821.54 and 730.51 is: 1,008.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.03 : 1,821.54 = 730.51 : x
  2. Step 2: Convert to fraction form
    1,320.03/1,821.54 = 730.51/x
  3. Step 3: Cross multiply
    1,320.03x = 1,821.54 × 730.51
  4. Step 4: Simplify right side
    1,320.03x = 1,330,653.19
  5. Step 5: Solve for x
    x = 1,330,653.19/1,320.03
  6. Step 6: Final answer
    x = 1,008.05

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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.