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Finding the Fourth Proportional to 1,332.75, 1,998.72 and 924.51

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Solution

The fourth proportional to 1,332.75, 1,998.72 and 924.51 is: 1,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.75 : 1,998.72 = 924.51 : x
  2. Step 2: Convert to fraction form
    1,332.75/1,998.72 = 924.51/x
  3. Step 3: Cross multiply
    1,332.75x = 1,998.72 × 924.51
  4. Step 4: Simplify right side
    1,332.75x = 1,847,836.63
  5. Step 5: Solve for x
    x = 1,847,836.63/1,332.75
  6. Step 6: Final answer
    x = 1,386.48

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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.