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Finding the Fourth Proportional to 751.23, 1,035.99 and 542.79

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Solution

The fourth proportional to 751.23, 1,035.99 and 542.79 is: 748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.23 : 1,035.99 = 542.79 : x
  2. Step 2: Convert to fraction form
    751.23/1,035.99 = 542.79/x
  3. Step 3: Cross multiply
    751.23x = 1,035.99 × 542.79
  4. Step 4: Simplify right side
    751.23x = 562,325.01
  5. Step 5: Solve for x
    x = 562,325.01/751.23
  6. Step 6: Final answer
    x = 748.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.