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Finding the Fourth Proportional to 616.75, 850.88 and 407.03

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Solution

The fourth proportional to 616.75, 850.88 and 407.03 is: 561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.75 : 850.88 = 407.03 : x
  2. Step 2: Convert to fraction form
    616.75/850.88 = 407.03/x
  3. Step 3: Cross multiply
    616.75x = 850.88 × 407.03
  4. Step 4: Simplify right side
    616.75x = 346,330.45
  5. Step 5: Solve for x
    x = 346,330.45/616.75
  6. Step 6: Final answer
    x = 561.54

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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.