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Finding the Fourth Proportional to 666.56, 1,001.06 and 530.48

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Solution

The fourth proportional to 666.56, 1,001.06 and 530.48 is: 796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.56 : 1,001.06 = 530.48 : x
  2. Step 2: Convert to fraction form
    666.56/1,001.06 = 530.48/x
  3. Step 3: Cross multiply
    666.56x = 1,001.06 × 530.48
  4. Step 4: Simplify right side
    666.56x = 531,042.31
  5. Step 5: Solve for x
    x = 531,042.31/666.56
  6. Step 6: Final answer
    x = 796.69

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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.