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Finding the Fourth Proportional to 1,670.01, 2,304.50 and 923.90

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Solution

The fourth proportional to 1,670.01, 2,304.50 and 923.90 is: 1,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.01 : 2,304.50 = 923.90 : x
  2. Step 2: Convert to fraction form
    1,670.01/2,304.50 = 923.90/x
  3. Step 3: Cross multiply
    1,670.01x = 2,304.50 × 923.90
  4. Step 4: Simplify right side
    1,670.01x = 2,129,127.55
  5. Step 5: Solve for x
    x = 2,129,127.55/1,670.01
  6. Step 6: Final answer
    x = 1,274.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.