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Finding the Fourth Proportional to 1,383.32, 2,073.18 and 602.40

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Solution

The fourth proportional to 1,383.32, 2,073.18 and 602.40 is: 902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.32 : 2,073.18 = 602.40 : x
  2. Step 2: Convert to fraction form
    1,383.32/2,073.18 = 602.40/x
  3. Step 3: Cross multiply
    1,383.32x = 2,073.18 × 602.40
  4. Step 4: Simplify right side
    1,383.32x = 1,248,883.63
  5. Step 5: Solve for x
    x = 1,248,883.63/1,383.32
  6. Step 6: Final answer
    x = 902.82

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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.