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Finding the Fourth Proportional to 667.29, 997.05 and 587.10

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Solution

The fourth proportional to 667.29, 997.05 and 587.10 is: 877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.29 : 997.05 = 587.10 : x
  2. Step 2: Convert to fraction form
    667.29/997.05 = 587.10/x
  3. Step 3: Cross multiply
    667.29x = 997.05 × 587.10
  4. Step 4: Simplify right side
    667.29x = 585,368.06
  5. Step 5: Solve for x
    x = 585,368.06/667.29
  6. Step 6: Final answer
    x = 877.23

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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.