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Finding the Fourth Proportional to 564.75, 776.75 and 454.05

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Solution

The fourth proportional to 564.75, 776.75 and 454.05 is: 624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 776.75 = 454.05 : x
  2. Step 2: Convert to fraction form
    564.75/776.75 = 454.05/x
  3. Step 3: Cross multiply
    564.75x = 776.75 × 454.05
  4. Step 4: Simplify right side
    564.75x = 352,681.07
  5. Step 5: Solve for x
    x = 352,681.07/564.75
  6. Step 6: Final answer
    x = 624.49

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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.