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Finding the Fourth Proportional to 751.53, 1,131.68 and 557.90

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Solution

The fourth proportional to 751.53, 1,131.68 and 557.90 is: 840.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.53 : 1,131.68 = 557.90 : x
  2. Step 2: Convert to fraction form
    751.53/1,131.68 = 557.90/x
  3. Step 3: Cross multiply
    751.53x = 1,131.68 × 557.90
  4. Step 4: Simplify right side
    751.53x = 631,355.82
  5. Step 5: Solve for x
    x = 631,355.82/751.53
  6. Step 6: Final answer
    x = 840.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.