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Finding the Fourth Proportional to 711.09, 1,065.61 and 436.69

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Solution

The fourth proportional to 711.09, 1,065.61 and 436.69 is: 654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.09 : 1,065.61 = 436.69 : x
  2. Step 2: Convert to fraction form
    711.09/1,065.61 = 436.69/x
  3. Step 3: Cross multiply
    711.09x = 1,065.61 × 436.69
  4. Step 4: Simplify right side
    711.09x = 465,341.23
  5. Step 5: Solve for x
    x = 465,341.23/711.09
  6. Step 6: Final answer
    x = 654.41

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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.