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Finding the Fourth Proportional to 1,342.55, 1,854.13 and 923.98

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Solution

The fourth proportional to 1,342.55, 1,854.13 and 923.98 is: 1,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.55 : 1,854.13 = 923.98 : x
  2. Step 2: Convert to fraction form
    1,342.55/1,854.13 = 923.98/x
  3. Step 3: Cross multiply
    1,342.55x = 1,854.13 × 923.98
  4. Step 4: Simplify right side
    1,342.55x = 1,713,174.42
  5. Step 5: Solve for x
    x = 1,713,174.42/1,342.55
  6. Step 6: Final answer
    x = 1,276.06

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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.