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Finding the Fourth Proportional to 440.16, 610.19 and 432.60

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Solution

The fourth proportional to 440.16, 610.19 and 432.60 is: 599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.16 : 610.19 = 432.60 : x
  2. Step 2: Convert to fraction form
    440.16/610.19 = 432.60/x
  3. Step 3: Cross multiply
    440.16x = 610.19 × 432.60
  4. Step 4: Simplify right side
    440.16x = 263,966.03
  5. Step 5: Solve for x
    x = 263,966.03/440.16
  6. Step 6: Final answer
    x = 599.70

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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.