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Finding the Fourth Proportional to 564.79, 846.30 and 477.72

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Solution

The fourth proportional to 564.79, 846.30 and 477.72 is: 715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.79 : 846.30 = 477.72 : x
  2. Step 2: Convert to fraction form
    564.79/846.30 = 477.72/x
  3. Step 3: Cross multiply
    564.79x = 846.30 × 477.72
  4. Step 4: Simplify right side
    564.79x = 404,294.44
  5. Step 5: Solve for x
    x = 404,294.44/564.79
  6. Step 6: Final answer
    x = 715.83

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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.