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Finding the Fourth Proportional to 563.72, 776.66 and 469.94

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Solution

The fourth proportional to 563.72, 776.66 and 469.94 is: 647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.72 : 776.66 = 469.94 : x
  2. Step 2: Convert to fraction form
    563.72/776.66 = 469.94/x
  3. Step 3: Cross multiply
    563.72x = 776.66 × 469.94
  4. Step 4: Simplify right side
    563.72x = 364,983.60
  5. Step 5: Solve for x
    x = 364,983.60/563.72
  6. Step 6: Final answer
    x = 647.46

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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.