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Finding the Fourth Proportional to 975.03, 1,462.95 and 651.03

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Solution

The fourth proportional to 975.03, 1,462.95 and 651.03 is: 976.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.03 : 1,462.95 = 651.03 : x
  2. Step 2: Convert to fraction form
    975.03/1,462.95 = 651.03/x
  3. Step 3: Cross multiply
    975.03x = 1,462.95 × 651.03
  4. Step 4: Simplify right side
    975.03x = 952,424.34
  5. Step 5: Solve for x
    x = 952,424.34/975.03
  6. Step 6: Final answer
    x = 976.82

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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.