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Finding the Fourth Proportional to 660.42, 995.00 and 597.96

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Solution

The fourth proportional to 660.42, 995.00 and 597.96 is: 900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.42 : 995.00 = 597.96 : x
  2. Step 2: Convert to fraction form
    660.42/995.00 = 597.96/x
  3. Step 3: Cross multiply
    660.42x = 995.00 × 597.96
  4. Step 4: Simplify right side
    660.42x = 594,967.21
  5. Step 5: Solve for x
    x = 594,967.21/660.42
  6. Step 6: Final answer
    x = 900.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.