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Finding the Fourth Proportional to 759.65, 1,139.08 and 297.07

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Solution

The fourth proportional to 759.65, 1,139.08 and 297.07 is: 445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.65 : 1,139.08 = 297.07 : x
  2. Step 2: Convert to fraction form
    759.65/1,139.08 = 297.07/x
  3. Step 3: Cross multiply
    759.65x = 1,139.08 × 297.07
  4. Step 4: Simplify right side
    759.65x = 338,386.50
  5. Step 5: Solve for x
    x = 338,386.50/759.65
  6. Step 6: Final answer
    x = 445.45

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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.