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Finding the Fourth Proportional to 1,009.57, 1,393.28 and 589.81

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Solution

The fourth proportional to 1,009.57, 1,393.28 and 589.81 is: 813.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.57 : 1,393.28 = 589.81 : x
  2. Step 2: Convert to fraction form
    1,009.57/1,393.28 = 589.81/x
  3. Step 3: Cross multiply
    1,009.57x = 1,393.28 × 589.81
  4. Step 4: Simplify right side
    1,009.57x = 821,770.48
  5. Step 5: Solve for x
    x = 821,770.48/1,009.57
  6. Step 6: Final answer
    x = 813.98

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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.