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Finding the Fourth Proportional to 1,320.47, 1,979.48 and 589.64

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Solution

The fourth proportional to 1,320.47, 1,979.48 and 589.64 is: 883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.47 : 1,979.48 = 589.64 : x
  2. Step 2: Convert to fraction form
    1,320.47/1,979.48 = 589.64/x
  3. Step 3: Cross multiply
    1,320.47x = 1,979.48 × 589.64
  4. Step 4: Simplify right side
    1,320.47x = 1,167,180.59
  5. Step 5: Solve for x
    x = 1,167,180.59/1,320.47
  6. Step 6: Final answer
    x = 883.92

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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.