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Finding the Fourth Proportional to 469.55, 647.64 and 407.27

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Solution

The fourth proportional to 469.55, 647.64 and 407.27 is: 561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.55 : 647.64 = 407.27 : x
  2. Step 2: Convert to fraction form
    469.55/647.64 = 407.27/x
  3. Step 3: Cross multiply
    469.55x = 647.64 × 407.27
  4. Step 4: Simplify right side
    469.55x = 263,763.93
  5. Step 5: Solve for x
    x = 263,763.93/469.55
  6. Step 6: Final answer
    x = 561.74

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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.