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Finding the Fourth Proportional to 709.85, 1,066.19 and 436.47

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Solution

The fourth proportional to 709.85, 1,066.19 and 436.47 is: 655.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.85 : 1,066.19 = 436.47 : x
  2. Step 2: Convert to fraction form
    709.85/1,066.19 = 436.47/x
  3. Step 3: Cross multiply
    709.85x = 1,066.19 × 436.47
  4. Step 4: Simplify right side
    709.85x = 465,357.77
  5. Step 5: Solve for x
    x = 465,357.77/709.85
  6. Step 6: Final answer
    x = 655.58

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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.