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Finding the Fourth Proportional to 661.04, 989.14 and 400.08

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Solution

The fourth proportional to 661.04, 989.14 and 400.08 is: 598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.04 : 989.14 = 400.08 : x
  2. Step 2: Convert to fraction form
    661.04/989.14 = 400.08/x
  3. Step 3: Cross multiply
    661.04x = 989.14 × 400.08
  4. Step 4: Simplify right side
    661.04x = 395,735.13
  5. Step 5: Solve for x
    x = 395,735.13/661.04
  6. Step 6: Final answer
    x = 598.66

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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.