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Finding the Fourth Proportional to 751.32, 1,126.59 and 340.26

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Solution

The fourth proportional to 751.32, 1,126.59 and 340.26 is: 510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.32 : 1,126.59 = 340.26 : x
  2. Step 2: Convert to fraction form
    751.32/1,126.59 = 340.26/x
  3. Step 3: Cross multiply
    751.32x = 1,126.59 × 340.26
  4. Step 4: Simplify right side
    751.32x = 383,333.51
  5. Step 5: Solve for x
    x = 383,333.51/751.32
  6. Step 6: Final answer
    x = 510.21

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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.