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Finding the Fourth Proportional to 975.88, 1,464.11 and 456.17

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Solution

The fourth proportional to 975.88, 1,464.11 and 456.17 is: 684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.88 : 1,464.11 = 456.17 : x
  2. Step 2: Convert to fraction form
    975.88/1,464.11 = 456.17/x
  3. Step 3: Cross multiply
    975.88x = 1,464.11 × 456.17
  4. Step 4: Simplify right side
    975.88x = 667,875.17
  5. Step 5: Solve for x
    x = 667,875.17/975.88
  6. Step 6: Final answer
    x = 684.38

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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.