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Finding the Fourth Proportional to 753.35, 1,130.25 and 259.88

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Solution

The fourth proportional to 753.35, 1,130.25 and 259.88 is: 389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.35 : 1,130.25 = 259.88 : x
  2. Step 2: Convert to fraction form
    753.35/1,130.25 = 259.88/x
  3. Step 3: Cross multiply
    753.35x = 1,130.25 × 259.88
  4. Step 4: Simplify right side
    753.35x = 293,723.72
  5. Step 5: Solve for x
    x = 293,723.72/753.35
  6. Step 6: Final answer
    x = 389.89

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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.