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Finding the Fourth Proportional to 564.23, 780.10 and 439.85

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Solution

The fourth proportional to 564.23, 780.10 and 439.85 is: 608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.23 : 780.10 = 439.85 : x
  2. Step 2: Convert to fraction form
    564.23/780.10 = 439.85/x
  3. Step 3: Cross multiply
    564.23x = 780.10 × 439.85
  4. Step 4: Simplify right side
    564.23x = 343,127.84
  5. Step 5: Solve for x
    x = 343,127.84/564.23
  6. Step 6: Final answer
    x = 608.13

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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.