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Finding the Fourth Proportional to 1,487.51, 2,230.44 and 666.57

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Solution

The fourth proportional to 1,487.51, 2,230.44 and 666.57 is: 999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.51 : 2,230.44 = 666.57 : x
  2. Step 2: Convert to fraction form
    1,487.51/2,230.44 = 666.57/x
  3. Step 3: Cross multiply
    1,487.51x = 2,230.44 × 666.57
  4. Step 4: Simplify right side
    1,487.51x = 1,486,744.39
  5. Step 5: Solve for x
    x = 1,486,744.39/1,487.51
  6. Step 6: Final answer
    x = 999.49

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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.