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Finding the Fourth Proportional to 1,400.02, 1,931.65 and 902.48

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Solution

The fourth proportional to 1,400.02, 1,931.65 and 902.48 is: 1,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.02 : 1,931.65 = 902.48 : x
  2. Step 2: Convert to fraction form
    1,400.02/1,931.65 = 902.48/x
  3. Step 3: Cross multiply
    1,400.02x = 1,931.65 × 902.48
  4. Step 4: Simplify right side
    1,400.02x = 1,743,263.58
  5. Step 5: Solve for x
    x = 1,743,263.58/1,400.02
  6. Step 6: Final answer
    x = 1,245.17

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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.