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Finding the Fourth Proportional to 986.02, 1,477.36 and 710.71

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Solution

The fourth proportional to 986.02, 1,477.36 and 710.71 is: 1,064.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.02 : 1,477.36 = 710.71 : x
  2. Step 2: Convert to fraction form
    986.02/1,477.36 = 710.71/x
  3. Step 3: Cross multiply
    986.02x = 1,477.36 × 710.71
  4. Step 4: Simplify right side
    986.02x = 1,049,974.53
  5. Step 5: Solve for x
    x = 1,049,974.53/986.02
  6. Step 6: Final answer
    x = 1,064.86

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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.