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Finding the Fourth Proportional to 750.64, 1,125.87 and 339.54

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Solution

The fourth proportional to 750.64, 1,125.87 and 339.54 is: 509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.64 : 1,125.87 = 339.54 : x
  2. Step 2: Convert to fraction form
    750.64/1,125.87 = 339.54/x
  3. Step 3: Cross multiply
    750.64x = 1,125.87 × 339.54
  4. Step 4: Simplify right side
    750.64x = 382,277.90
  5. Step 5: Solve for x
    x = 382,277.90/750.64
  6. Step 6: Final answer
    x = 509.27

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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.