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Finding the Fourth Proportional to 759.33, 1,047.75 and 440.19

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Solution

The fourth proportional to 759.33, 1,047.75 and 440.19 is: 607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.33 : 1,047.75 = 440.19 : x
  2. Step 2: Convert to fraction form
    759.33/1,047.75 = 440.19/x
  3. Step 3: Cross multiply
    759.33x = 1,047.75 × 440.19
  4. Step 4: Simplify right side
    759.33x = 461,206.95
  5. Step 5: Solve for x
    x = 461,206.95/759.33
  6. Step 6: Final answer
    x = 607.38

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Half scale
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Double scale
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1.5x scale

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.