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Finding the Fourth Proportional to 470.09, 647.10 and 407.55

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Solution

The fourth proportional to 470.09, 647.10 and 407.55 is: 561.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.09 : 647.10 = 407.55 : x
  2. Step 2: Convert to fraction form
    470.09/647.10 = 407.55/x
  3. Step 3: Cross multiply
    470.09x = 647.10 × 407.55
  4. Step 4: Simplify right side
    470.09x = 263,725.61
  5. Step 5: Solve for x
    x = 263,725.61/470.09
  6. Step 6: Final answer
    x = 561.02

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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.