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Finding the Fourth Proportional to 985.36, 1,478.62 and 546.98

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Solution

The fourth proportional to 985.36, 1,478.62 and 546.98 is: 820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.36 : 1,478.62 = 546.98 : x
  2. Step 2: Convert to fraction form
    985.36/1,478.62 = 546.98/x
  3. Step 3: Cross multiply
    985.36x = 1,478.62 × 546.98
  4. Step 4: Simplify right side
    985.36x = 808,781.80
  5. Step 5: Solve for x
    x = 808,781.80/985.36
  6. Step 6: Final answer
    x = 820.80

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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.