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Finding the Fourth Proportional to 1,979.20, 2,969.01 and 592.30

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Solution

The fourth proportional to 1,979.20, 2,969.01 and 592.30 is: 888.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.20 : 2,969.01 = 592.30 : x
  2. Step 2: Convert to fraction form
    1,979.20/2,969.01 = 592.30/x
  3. Step 3: Cross multiply
    1,979.20x = 2,969.01 × 592.30
  4. Step 4: Simplify right side
    1,979.20x = 1,758,548.33
  5. Step 5: Solve for x
    x = 1,758,548.33/1,979.20
  6. Step 6: Final answer
    x = 888.51

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1.5x scale

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.