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Finding the Fourth Proportional to 750.36, 1,124.82 and 407.64

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Solution

The fourth proportional to 750.36, 1,124.82 and 407.64 is: 611.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.36 : 1,124.82 = 407.64 : x
  2. Step 2: Convert to fraction form
    750.36/1,124.82 = 407.64/x
  3. Step 3: Cross multiply
    750.36x = 1,124.82 × 407.64
  4. Step 4: Simplify right side
    750.36x = 458,521.62
  5. Step 5: Solve for x
    x = 458,521.62/750.36
  6. Step 6: Final answer
    x = 611.07

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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.