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Finding the Fourth Proportional to 711.77, 1,065.30 and 436.56

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Solution

The fourth proportional to 711.77, 1,065.30 and 436.56 is: 653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.77 : 1,065.30 = 436.56 : x
  2. Step 2: Convert to fraction form
    711.77/1,065.30 = 436.56/x
  3. Step 3: Cross multiply
    711.77x = 1,065.30 × 436.56
  4. Step 4: Simplify right side
    711.77x = 465,067.37
  5. Step 5: Solve for x
    x = 465,067.37/711.77
  6. Step 6: Final answer
    x = 653.40

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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.