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Finding the Fourth Proportional to 616.71, 850.82 and 407.00

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Solution

The fourth proportional to 616.71, 850.82 and 407.00 is: 561.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.71 : 850.82 = 407.00 : x
  2. Step 2: Convert to fraction form
    616.71/850.82 = 407.00/x
  3. Step 3: Cross multiply
    616.71x = 850.82 × 407.00
  4. Step 4: Simplify right side
    616.71x = 346,281.34
  5. Step 5: Solve for x
    x = 346,281.34/616.71
  6. Step 6: Final answer
    x = 561.49

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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.