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Finding the Fourth Proportional to 983.34, 1,473.93 and 435.11

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Solution

The fourth proportional to 983.34, 1,473.93 and 435.11 is: 652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.34 : 1,473.93 = 435.11 : x
  2. Step 2: Convert to fraction form
    983.34/1,473.93 = 435.11/x
  3. Step 3: Cross multiply
    983.34x = 1,473.93 × 435.11
  4. Step 4: Simplify right side
    983.34x = 641,314.31
  5. Step 5: Solve for x
    x = 641,314.31/983.34
  6. Step 6: Final answer
    x = 652.18

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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.