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Finding the Fourth Proportional to 994.17, 1,490.43 and 473.91

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Solution

The fourth proportional to 994.17, 1,490.43 and 473.91 is: 710.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.17 : 1,490.43 = 473.91 : x
  2. Step 2: Convert to fraction form
    994.17/1,490.43 = 473.91/x
  3. Step 3: Cross multiply
    994.17x = 1,490.43 × 473.91
  4. Step 4: Simplify right side
    994.17x = 706,329.68
  5. Step 5: Solve for x
    x = 706,329.68/994.17
  6. Step 6: Final answer
    x = 710.47

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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.