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Finding the Fourth Proportional to 983.96, 1,475.32 and 463.65

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Solution

The fourth proportional to 983.96, 1,475.32 and 463.65 is: 695.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.96 : 1,475.32 = 463.65 : x
  2. Step 2: Convert to fraction form
    983.96/1,475.32 = 463.65/x
  3. Step 3: Cross multiply
    983.96x = 1,475.32 × 463.65
  4. Step 4: Simplify right side
    983.96x = 684,032.12
  5. Step 5: Solve for x
    x = 684,032.12/983.96
  6. Step 6: Final answer
    x = 695.18

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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.