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Finding the Fourth Proportional to 752.10, 1,127.80 and 405.35

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Solution

The fourth proportional to 752.10, 1,127.80 and 405.35 is: 607.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.10 : 1,127.80 = 405.35 : x
  2. Step 2: Convert to fraction form
    752.10/1,127.80 = 405.35/x
  3. Step 3: Cross multiply
    752.10x = 1,127.80 × 405.35
  4. Step 4: Simplify right side
    752.10x = 457,153.73
  5. Step 5: Solve for x
    x = 457,153.73/752.10
  6. Step 6: Final answer
    x = 607.84

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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.