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Finding the Fourth Proportional to 564.89, 779.10 and 354.88

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Solution

The fourth proportional to 564.89, 779.10 and 354.88 is: 489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.89 : 779.10 = 354.88 : x
  2. Step 2: Convert to fraction form
    564.89/779.10 = 354.88/x
  3. Step 3: Cross multiply
    564.89x = 779.10 × 354.88
  4. Step 4: Simplify right side
    564.89x = 276,487.01
  5. Step 5: Solve for x
    x = 276,487.01/564.89
  6. Step 6: Final answer
    x = 489.45

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1.5x scale

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.