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Finding the Fourth Proportional to 715.06, 986.48 and 435.07

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Solution

The fourth proportional to 715.06, 986.48 and 435.07 is: 600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.06 : 986.48 = 435.07 : x
  2. Step 2: Convert to fraction form
    715.06/986.48 = 435.07/x
  3. Step 3: Cross multiply
    715.06x = 986.48 × 435.07
  4. Step 4: Simplify right side
    715.06x = 429,185.44
  5. Step 5: Solve for x
    x = 429,185.44/715.06
  6. Step 6: Final answer
    x = 600.21

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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.