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Finding the Fourth Proportional to 763.03, 1,142.31 and 690.07

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Solution

The fourth proportional to 763.03, 1,142.31 and 690.07 is: 1,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.03 : 1,142.31 = 690.07 : x
  2. Step 2: Convert to fraction form
    763.03/1,142.31 = 690.07/x
  3. Step 3: Cross multiply
    763.03x = 1,142.31 × 690.07
  4. Step 4: Simplify right side
    763.03x = 788,271.85
  5. Step 5: Solve for x
    x = 788,271.85/763.03
  6. Step 6: Final answer
    x = 1,033.09

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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.