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Finding the Fourth Proportional to 1,373.80, 1,895.20 and 902.48

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Solution

The fourth proportional to 1,373.80, 1,895.20 and 902.48 is: 1,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.80 : 1,895.20 = 902.48 : x
  2. Step 2: Convert to fraction form
    1,373.80/1,895.20 = 902.48/x
  3. Step 3: Cross multiply
    1,373.80x = 1,895.20 × 902.48
  4. Step 4: Simplify right side
    1,373.80x = 1,710,380.10
  5. Step 5: Solve for x
    x = 1,710,380.10/1,373.80
  6. Step 6: Final answer
    x = 1,245.00

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