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Finding the Fourth Proportional to 754.06, 1,130.69 and 407.47

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Solution

The fourth proportional to 754.06, 1,130.69 and 407.47 is: 610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.06 : 1,130.69 = 407.47 : x
  2. Step 2: Convert to fraction form
    754.06/1,130.69 = 407.47/x
  3. Step 3: Cross multiply
    754.06x = 1,130.69 × 407.47
  4. Step 4: Simplify right side
    754.06x = 460,722.25
  5. Step 5: Solve for x
    x = 460,722.25/754.06
  6. Step 6: Final answer
    x = 610.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.