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Finding the Fourth Proportional to 975.72, 1,464.30 and 699.24

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Solution

The fourth proportional to 975.72, 1,464.30 and 699.24 is: 1,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.72 : 1,464.30 = 699.24 : x
  2. Step 2: Convert to fraction form
    975.72/1,464.30 = 699.24/x
  3. Step 3: Cross multiply
    975.72x = 1,464.30 × 699.24
  4. Step 4: Simplify right side
    975.72x = 1,023,897.13
  5. Step 5: Solve for x
    x = 1,023,897.13/975.72
  6. Step 6: Final answer
    x = 1,049.38

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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.