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Finding the Fourth Proportional to 564.01, 844.50 and 546.40

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Solution

The fourth proportional to 564.01, 844.50 and 546.40 is: 818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.01 : 844.50 = 546.40 : x
  2. Step 2: Convert to fraction form
    564.01/844.50 = 546.40/x
  3. Step 3: Cross multiply
    564.01x = 844.50 × 546.40
  4. Step 4: Simplify right side
    564.01x = 461,434.80
  5. Step 5: Solve for x
    x = 461,434.80/564.01
  6. Step 6: Final answer
    x = 818.13

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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.