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Finding the Fourth Proportional to 666.42, 1,003.58 and 557.77

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Solution

The fourth proportional to 666.42, 1,003.58 and 557.77 is: 839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.42 : 1,003.58 = 557.77 : x
  2. Step 2: Convert to fraction form
    666.42/1,003.58 = 557.77/x
  3. Step 3: Cross multiply
    666.42x = 1,003.58 × 557.77
  4. Step 4: Simplify right side
    666.42x = 559,766.82
  5. Step 5: Solve for x
    x = 559,766.82/666.42
  6. Step 6: Final answer
    x = 839.96

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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.