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Finding the Fourth Proportional to 985.66, 1,478.84 and 657.91

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Solution

The fourth proportional to 985.66, 1,478.84 and 657.91 is: 987.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.66 : 1,478.84 = 657.91 : x
  2. Step 2: Convert to fraction form
    985.66/1,478.84 = 657.91/x
  3. Step 3: Cross multiply
    985.66x = 1,478.84 × 657.91
  4. Step 4: Simplify right side
    985.66x = 972,940.33
  5. Step 5: Solve for x
    x = 972,940.33/985.66
  6. Step 6: Final answer
    x = 987.10

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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.