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Finding the Fourth Proportional to 476.85, 656.53 and 417.77

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Solution

The fourth proportional to 476.85, 656.53 and 417.77 is: 575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.85 : 656.53 = 417.77 : x
  2. Step 2: Convert to fraction form
    476.85/656.53 = 417.77/x
  3. Step 3: Cross multiply
    476.85x = 656.53 × 417.77
  4. Step 4: Simplify right side
    476.85x = 274,278.54
  5. Step 5: Solve for x
    x = 274,278.54/476.85
  6. Step 6: Final answer
    x = 575.19

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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.