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Finding the Fourth Proportional to 986.47, 1,359.62 and 671.57

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Solution

The fourth proportional to 986.47, 1,359.62 and 671.57 is: 925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.47 : 1,359.62 = 671.57 : x
  2. Step 2: Convert to fraction form
    986.47/1,359.62 = 671.57/x
  3. Step 3: Cross multiply
    986.47x = 1,359.62 × 671.57
  4. Step 4: Simplify right side
    986.47x = 913,076.47
  5. Step 5: Solve for x
    x = 913,076.47/986.47
  6. Step 6: Final answer
    x = 925.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.