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Finding the Fourth Proportional to 1,979.68, 2,969.50 and 592.98

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Solution

The fourth proportional to 1,979.68, 2,969.50 and 592.98 is: 889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.68 : 2,969.50 = 592.98 : x
  2. Step 2: Convert to fraction form
    1,979.68/2,969.50 = 592.98/x
  3. Step 3: Cross multiply
    1,979.68x = 2,969.50 × 592.98
  4. Step 4: Simplify right side
    1,979.68x = 1,760,854.11
  5. Step 5: Solve for x
    x = 1,760,854.11/1,979.68
  6. Step 6: Final answer
    x = 889.46

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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.