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Finding the Fourth Proportional to 564.49, 776.41 and 453.72

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Solution

The fourth proportional to 564.49, 776.41 and 453.72 is: 624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.49 : 776.41 = 453.72 : x
  2. Step 2: Convert to fraction form
    564.49/776.41 = 453.72/x
  3. Step 3: Cross multiply
    564.49x = 776.41 × 453.72
  4. Step 4: Simplify right side
    564.49x = 352,271.61
  5. Step 5: Solve for x
    x = 352,271.61/564.49
  6. Step 6: Final answer
    x = 624.06

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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.