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Finding the Fourth Proportional to 1,319.57, 1,821.02 and 730.14

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Solution

The fourth proportional to 1,319.57, 1,821.02 and 730.14 is: 1,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.57 : 1,821.02 = 730.14 : x
  2. Step 2: Convert to fraction form
    1,319.57/1,821.02 = 730.14/x
  3. Step 3: Cross multiply
    1,319.57x = 1,821.02 × 730.14
  4. Step 4: Simplify right side
    1,319.57x = 1,329,599.54
  5. Step 5: Solve for x
    x = 1,329,599.54/1,319.57
  6. Step 6: Final answer
    x = 1,007.60

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1.5x scale

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.