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Finding the Fourth Proportional to 661.60, 990.96 and 470.08

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Solution

The fourth proportional to 661.60, 990.96 and 470.08 is: 704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.60 : 990.96 = 470.08 : x
  2. Step 2: Convert to fraction form
    661.60/990.96 = 470.08/x
  3. Step 3: Cross multiply
    661.60x = 990.96 × 470.08
  4. Step 4: Simplify right side
    661.60x = 465,830.48
  5. Step 5: Solve for x
    x = 465,830.48/661.60
  6. Step 6: Final answer
    x = 704.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.