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Finding the Fourth Proportional to 1,117.05, 1,674.84 and 589.20

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Solution

The fourth proportional to 1,117.05, 1,674.84 and 589.20 is: 883.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.05 : 1,674.84 = 589.20 : x
  2. Step 2: Convert to fraction form
    1,117.05/1,674.84 = 589.20/x
  3. Step 3: Cross multiply
    1,117.05x = 1,674.84 × 589.20
  4. Step 4: Simplify right side
    1,117.05x = 986,815.73
  5. Step 5: Solve for x
    x = 986,815.73/1,117.05
  6. Step 6: Final answer
    x = 883.41

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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.