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Finding the Fourth Proportional to 469.60, 646.80 and 407.20

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Solution

The fourth proportional to 469.60, 646.80 and 407.20 is: 560.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.60 : 646.80 = 407.20 : x
  2. Step 2: Convert to fraction form
    469.60/646.80 = 407.20/x
  3. Step 3: Cross multiply
    469.60x = 646.80 × 407.20
  4. Step 4: Simplify right side
    469.60x = 263,376.96
  5. Step 5: Solve for x
    x = 263,376.96/469.60
  6. Step 6: Final answer
    x = 560.85

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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.