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Finding the Fourth Proportional to 564.75, 780.33 and 466.34

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Solution

The fourth proportional to 564.75, 780.33 and 466.34 is: 644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 780.33 = 466.34 : x
  2. Step 2: Convert to fraction form
    564.75/780.33 = 466.34/x
  3. Step 3: Cross multiply
    564.75x = 780.33 × 466.34
  4. Step 4: Simplify right side
    564.75x = 363,895.19
  5. Step 5: Solve for x
    x = 363,895.19/564.75
  6. Step 6: Final answer
    x = 644.35

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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.