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Finding the Fourth Proportional to 478.60, 661.14 and 444.04

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Solution

The fourth proportional to 478.60, 661.14 and 444.04 is: 613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.60 : 661.14 = 444.04 : x
  2. Step 2: Convert to fraction form
    478.60/661.14 = 444.04/x
  3. Step 3: Cross multiply
    478.60x = 661.14 × 444.04
  4. Step 4: Simplify right side
    478.60x = 293,572.61
  5. Step 5: Solve for x
    x = 293,572.61/478.60
  6. Step 6: Final answer
    x = 613.40

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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.