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Finding the Fourth Proportional to 783.76, 1,174.02 and 589.06

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Solution

The fourth proportional to 783.76, 1,174.02 and 589.06 is: 882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.76 : 1,174.02 = 589.06 : x
  2. Step 2: Convert to fraction form
    783.76/1,174.02 = 589.06/x
  3. Step 3: Cross multiply
    783.76x = 1,174.02 × 589.06
  4. Step 4: Simplify right side
    783.76x = 691,568.22
  5. Step 5: Solve for x
    x = 691,568.22/783.76
  6. Step 6: Final answer
    x = 882.37

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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.