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Finding the Fourth Proportional to 563.10, 776.68 and 421.21

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Solution

The fourth proportional to 563.10, 776.68 and 421.21 is: 580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.10 : 776.68 = 421.21 : x
  2. Step 2: Convert to fraction form
    563.10/776.68 = 421.21/x
  3. Step 3: Cross multiply
    563.10x = 776.68 × 421.21
  4. Step 4: Simplify right side
    563.10x = 327,145.38
  5. Step 5: Solve for x
    x = 327,145.38/563.10
  6. Step 6: Final answer
    x = 580.97

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Double scale
Find fourth proportional to 564.10, 778.06 and 422.21
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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.