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Finding the Fourth Proportional to 983.69, 1,473.81 and 520.45

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Solution

The fourth proportional to 983.69, 1,473.81 and 520.45 is: 779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.69 : 1,473.81 = 520.45 : x
  2. Step 2: Convert to fraction form
    983.69/1,473.81 = 520.45/x
  3. Step 3: Cross multiply
    983.69x = 1,473.81 × 520.45
  4. Step 4: Simplify right side
    983.69x = 767,044.41
  5. Step 5: Solve for x
    x = 767,044.41/983.69
  6. Step 6: Final answer
    x = 779.76

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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.