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Finding the Fourth Proportional to 563.68, 776.82 and 513.10

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Solution

The fourth proportional to 563.68, 776.82 and 513.10 is: 707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.68 : 776.82 = 513.10 : x
  2. Step 2: Convert to fraction form
    563.68/776.82 = 513.10/x
  3. Step 3: Cross multiply
    563.68x = 776.82 × 513.10
  4. Step 4: Simplify right side
    563.68x = 398,586.34
  5. Step 5: Solve for x
    x = 398,586.34/563.68
  6. Step 6: Final answer
    x = 707.11

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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.