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Finding the Fourth Proportional to 407.26, 613.91 and 383.77

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Solution

The fourth proportional to 407.26, 613.91 and 383.77 is: 578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.26 : 613.91 = 383.77 : x
  2. Step 2: Convert to fraction form
    407.26/613.91 = 383.77/x
  3. Step 3: Cross multiply
    407.26x = 613.91 × 383.77
  4. Step 4: Simplify right side
    407.26x = 235,600.24
  5. Step 5: Solve for x
    x = 235,600.24/407.26
  6. Step 6: Final answer
    x = 578.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.