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Finding the Fourth Proportional to 469.35, 647.73 and 407.39

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Solution

The fourth proportional to 469.35, 647.73 and 407.39 is: 562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.35 : 647.73 = 407.39 : x
  2. Step 2: Convert to fraction form
    469.35/647.73 = 407.39/x
  3. Step 3: Cross multiply
    469.35x = 647.73 × 407.39
  4. Step 4: Simplify right side
    469.35x = 263,875.49
  5. Step 5: Solve for x
    x = 263,875.49/469.35
  6. Step 6: Final answer
    x = 562.21

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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.