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Finding the Fourth Proportional to 757.21, 1,045.05 and 425.66

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Solution

The fourth proportional to 757.21, 1,045.05 and 425.66 is: 587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.21 : 1,045.05 = 425.66 : x
  2. Step 2: Convert to fraction form
    757.21/1,045.05 = 425.66/x
  3. Step 3: Cross multiply
    757.21x = 1,045.05 × 425.66
  4. Step 4: Simplify right side
    757.21x = 444,830.76
  5. Step 5: Solve for x
    x = 444,830.76/757.21
  6. Step 6: Final answer
    x = 587.46

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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.