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Finding the Fourth Proportional to 477.04, 661.66 and 457.60

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Solution

The fourth proportional to 477.04, 661.66 and 457.60 is: 634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.04 : 661.66 = 457.60 : x
  2. Step 2: Convert to fraction form
    477.04/661.66 = 457.60/x
  3. Step 3: Cross multiply
    477.04x = 661.66 × 457.60
  4. Step 4: Simplify right side
    477.04x = 302,775.62
  5. Step 5: Solve for x
    x = 302,775.62/477.04
  6. Step 6: Final answer
    x = 634.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.