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Finding the Fourth Proportional to 1,201.07, 1,798.79 and 924.95

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Solution

The fourth proportional to 1,201.07, 1,798.79 and 924.95 is: 1,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.07 : 1,798.79 = 924.95 : x
  2. Step 2: Convert to fraction form
    1,201.07/1,798.79 = 924.95/x
  3. Step 3: Cross multiply
    1,201.07x = 1,798.79 × 924.95
  4. Step 4: Simplify right side
    1,201.07x = 1,663,790.81
  5. Step 5: Solve for x
    x = 1,663,790.81/1,201.07
  6. Step 6: Final answer
    x = 1,385.26

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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.