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Finding the Fourth Proportional to 751.62, 1,127.41 and 340.46

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Solution

The fourth proportional to 751.62, 1,127.41 and 340.46 is: 510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.62 : 1,127.41 = 340.46 : x
  2. Step 2: Convert to fraction form
    751.62/1,127.41 = 340.46/x
  3. Step 3: Cross multiply
    751.62x = 1,127.41 × 340.46
  4. Step 4: Simplify right side
    751.62x = 383,831.52
  5. Step 5: Solve for x
    x = 383,831.52/751.62
  6. Step 6: Final answer
    x = 510.67

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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.