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Finding the Fourth Proportional to 759.13, 1,047.55 and 427.58

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Solution

The fourth proportional to 759.13, 1,047.55 and 427.58 is: 590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.13 : 1,047.55 = 427.58 : x
  2. Step 2: Convert to fraction form
    759.13/1,047.55 = 427.58/x
  3. Step 3: Cross multiply
    759.13x = 1,047.55 × 427.58
  4. Step 4: Simplify right side
    759.13x = 447,915.74
  5. Step 5: Solve for x
    x = 447,915.74/759.13
  6. Step 6: Final answer
    x = 590.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.