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Finding the Fourth Proportional to 667.67, 1,001.51 and 524.30

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Solution

The fourth proportional to 667.67, 1,001.51 and 524.30 is: 786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.67 : 1,001.51 = 524.30 : x
  2. Step 2: Convert to fraction form
    667.67/1,001.51 = 524.30/x
  3. Step 3: Cross multiply
    667.67x = 1,001.51 × 524.30
  4. Step 4: Simplify right side
    667.67x = 525,084.06
  5. Step 5: Solve for x
    x = 525,084.06/667.67
  6. Step 6: Final answer
    x = 786.45

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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.