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Finding the Fourth Proportional to 759.40, 1,138.02 and 485.08

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Solution

The fourth proportional to 759.40, 1,138.02 and 485.08 is: 726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.40 : 1,138.02 = 485.08 : x
  2. Step 2: Convert to fraction form
    759.40/1,138.02 = 485.08/x
  3. Step 3: Cross multiply
    759.40x = 1,138.02 × 485.08
  4. Step 4: Simplify right side
    759.40x = 552,030.74
  5. Step 5: Solve for x
    x = 552,030.74/759.40
  6. Step 6: Final answer
    x = 726.93

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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.