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Finding the Fourth Proportional to 975.40, 1,462.02 and 610.36

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Solution

The fourth proportional to 975.40, 1,462.02 and 610.36 is: 914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.40 : 1,462.02 = 610.36 : x
  2. Step 2: Convert to fraction form
    975.40/1,462.02 = 610.36/x
  3. Step 3: Cross multiply
    975.40x = 1,462.02 × 610.36
  4. Step 4: Simplify right side
    975.40x = 892,358.53
  5. Step 5: Solve for x
    x = 892,358.53/975.40
  6. Step 6: Final answer
    x = 914.86

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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.