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Finding the Fourth Proportional to 1,430.92, 1,975 and 932.69

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Solution

The fourth proportional to 1,430.92, 1,975 and 932.69 is: 1,287.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430.92 : 1,975 = 932.69 : x
  2. Step 2: Convert to fraction form
    1,430.92/1,975 = 932.69/x
  3. Step 3: Cross multiply
    1,430.92x = 1,975 × 932.69
  4. Step 4: Simplify right side
    1,430.92x = 1,842,052.88
  5. Step 5: Solve for x
    x = 1,842,052.88/1,430.92
  6. Step 6: Final answer
    x = 1,287.33

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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.