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Finding the Fourth Proportional to 476.48, 656.64 and 407.36

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Solution

The fourth proportional to 476.48, 656.64 and 407.36 is: 561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.48 : 656.64 = 407.36 : x
  2. Step 2: Convert to fraction form
    476.48/656.64 = 407.36/x
  3. Step 3: Cross multiply
    476.48x = 656.64 × 407.36
  4. Step 4: Simplify right side
    476.48x = 267,488.87
  5. Step 5: Solve for x
    x = 267,488.87/476.48
  6. Step 6: Final answer
    x = 561.39

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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.