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Finding the Fourth Proportional to 983.40, 1,473.76 and 463.32

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Solution

The fourth proportional to 983.40, 1,473.76 and 463.32 is: 694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.40 : 1,473.76 = 463.32 : x
  2. Step 2: Convert to fraction form
    983.40/1,473.76 = 463.32/x
  3. Step 3: Cross multiply
    983.40x = 1,473.76 × 463.32
  4. Step 4: Simplify right side
    983.40x = 682,822.48
  5. Step 5: Solve for x
    x = 682,822.48/983.40
  6. Step 6: Final answer
    x = 694.35

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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.