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Finding the Fourth Proportional to 715.23, 987.26 and 435.65

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Solution

The fourth proportional to 715.23, 987.26 and 435.65 is: 601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.23 : 987.26 = 435.65 : x
  2. Step 2: Convert to fraction form
    715.23/987.26 = 435.65/x
  3. Step 3: Cross multiply
    715.23x = 987.26 × 435.65
  4. Step 4: Simplify right side
    715.23x = 430,092.70
  5. Step 5: Solve for x
    x = 430,092.70/715.23
  6. Step 6: Final answer
    x = 601.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.