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Finding the Fourth Proportional to 564.03, 846.25 and 410.13

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Solution

The fourth proportional to 564.03, 846.25 and 410.13 is: 615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.03 : 846.25 = 410.13 : x
  2. Step 2: Convert to fraction form
    564.03/846.25 = 410.13/x
  3. Step 3: Cross multiply
    564.03x = 846.25 × 410.13
  4. Step 4: Simplify right side
    564.03x = 347,071.49
  5. Step 5: Solve for x
    x = 347,071.49/564.03
  6. Step 6: Final answer
    x = 615.34

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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.