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Finding the Fourth Proportional to 1,298.94, 1,948.38 and 374.46

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Solution

The fourth proportional to 1,298.94, 1,948.38 and 374.46 is: 561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.94 : 1,948.38 = 374.46 : x
  2. Step 2: Convert to fraction form
    1,298.94/1,948.38 = 374.46/x
  3. Step 3: Cross multiply
    1,298.94x = 1,948.38 × 374.46
  4. Step 4: Simplify right side
    1,298.94x = 729,590.37
  5. Step 5: Solve for x
    x = 729,590.37/1,298.94
  6. Step 6: Final answer
    x = 561.68

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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.