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Finding the Fourth Proportional to 975.52, 1,464.48 and 767.92

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Solution

The fourth proportional to 975.52, 1,464.48 and 767.92 is: 1,152.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.52 : 1,464.48 = 767.92 : x
  2. Step 2: Convert to fraction form
    975.52/1,464.48 = 767.92/x
  3. Step 3: Cross multiply
    975.52x = 1,464.48 × 767.92
  4. Step 4: Simplify right side
    975.52x = 1,124,603.48
  5. Step 5: Solve for x
    x = 1,124,603.48/975.52
  6. Step 6: Final answer
    x = 1,152.82

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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.