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Finding the Fourth Proportional to 975.50, 1,461.32 and 512.58

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Solution

The fourth proportional to 975.50, 1,461.32 and 512.58 is: 767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.50 : 1,461.32 = 512.58 : x
  2. Step 2: Convert to fraction form
    975.50/1,461.32 = 512.58/x
  3. Step 3: Cross multiply
    975.50x = 1,461.32 × 512.58
  4. Step 4: Simplify right side
    975.50x = 749,040.84
  5. Step 5: Solve for x
    x = 749,040.84/975.50
  6. Step 6: Final answer
    x = 767.86

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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.