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Finding the Fourth Proportional to 666.32, 994.66 and 575.60

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Solution

The fourth proportional to 666.32, 994.66 and 575.60 is: 859.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.32 : 994.66 = 575.60 : x
  2. Step 2: Convert to fraction form
    666.32/994.66 = 575.60/x
  3. Step 3: Cross multiply
    666.32x = 994.66 × 575.60
  4. Step 4: Simplify right side
    666.32x = 572,526.30
  5. Step 5: Solve for x
    x = 572,526.30/666.32
  6. Step 6: Final answer
    x = 859.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.