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Finding the Fourth Proportional to 469.85, 647.07 and 407.66

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Solution

The fourth proportional to 469.85, 647.07 and 407.66 is: 561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.85 : 647.07 = 407.66 : x
  2. Step 2: Convert to fraction form
    469.85/647.07 = 407.66/x
  3. Step 3: Cross multiply
    469.85x = 647.07 × 407.66
  4. Step 4: Simplify right side
    469.85x = 263,784.56
  5. Step 5: Solve for x
    x = 263,784.56/469.85
  6. Step 6: Final answer
    x = 561.42

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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.