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Finding the Fourth Proportional to 1,386.37, 2,079.94 and 462.53

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Solution

The fourth proportional to 1,386.37, 2,079.94 and 462.53 is: 693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.37 : 2,079.94 = 462.53 : x
  2. Step 2: Convert to fraction form
    1,386.37/2,079.94 = 462.53/x
  3. Step 3: Cross multiply
    1,386.37x = 2,079.94 × 462.53
  4. Step 4: Simplify right side
    1,386.37x = 962,030.60
  5. Step 5: Solve for x
    x = 962,030.60/1,386.37
  6. Step 6: Final answer
    x = 693.92

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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.