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Finding the Fourth Proportional to 753.34, 1,040.12 and 505.03

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Solution

The fourth proportional to 753.34, 1,040.12 and 505.03 is: 697.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.34 : 1,040.12 = 505.03 : x
  2. Step 2: Convert to fraction form
    753.34/1,040.12 = 505.03/x
  3. Step 3: Cross multiply
    753.34x = 1,040.12 × 505.03
  4. Step 4: Simplify right side
    753.34x = 525,291.80
  5. Step 5: Solve for x
    x = 525,291.80/753.34
  6. Step 6: Final answer
    x = 697.28

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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.