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Finding the Fourth Proportional to 563.49, 778.61 and 465.08

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Solution

The fourth proportional to 563.49, 778.61 and 465.08 is: 642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.49 : 778.61 = 465.08 : x
  2. Step 2: Convert to fraction form
    563.49/778.61 = 465.08/x
  3. Step 3: Cross multiply
    563.49x = 778.61 × 465.08
  4. Step 4: Simplify right side
    563.49x = 362,113.55
  5. Step 5: Solve for x
    x = 362,113.55/563.49
  6. Step 6: Final answer
    x = 642.62

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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.