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Finding the Fourth Proportional to 409.67, 613.93 and 317.93

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Solution

The fourth proportional to 409.67, 613.93 and 317.93 is: 476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.67 : 613.93 = 317.93 : x
  2. Step 2: Convert to fraction form
    409.67/613.93 = 317.93/x
  3. Step 3: Cross multiply
    409.67x = 613.93 × 317.93
  4. Step 4: Simplify right side
    409.67x = 195,186.76
  5. Step 5: Solve for x
    x = 195,186.76/409.67
  6. Step 6: Final answer
    x = 476.45

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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.