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Finding the Fourth Proportional to 613, 846.66 and 405.64

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Solution

The fourth proportional to 613, 846.66 and 405.64 is: 560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    613 : 846.66 = 405.64 : x
  2. Step 2: Convert to fraction form
    613/846.66 = 405.64/x
  3. Step 3: Cross multiply
    613x = 846.66 × 405.64
  4. Step 4: Simplify right side
    613x = 343,439.16
  5. Step 5: Solve for x
    x = 343,439.16/613
  6. Step 6: Final answer
    x = 560.26

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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.