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Finding the Fourth Proportional to 469.59, 646.41 and 407.05

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Solution

The fourth proportional to 469.59, 646.41 and 407.05 is: 560.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.59 : 646.41 = 407.05 : x
  2. Step 2: Convert to fraction form
    469.59/646.41 = 407.05/x
  3. Step 3: Cross multiply
    469.59x = 646.41 × 407.05
  4. Step 4: Simplify right side
    469.59x = 263,121.19
  5. Step 5: Solve for x
    x = 263,121.19/469.59
  6. Step 6: Final answer
    x = 560.32

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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.