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Finding the Fourth Proportional to 975.32, 1,464.72 and 936.17

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Solution

The fourth proportional to 975.32, 1,464.72 and 936.17 is: 1,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.32 : 1,464.72 = 936.17 : x
  2. Step 2: Convert to fraction form
    975.32/1,464.72 = 936.17/x
  3. Step 3: Cross multiply
    975.32x = 1,464.72 × 936.17
  4. Step 4: Simplify right side
    975.32x = 1,371,226.92
  5. Step 5: Solve for x
    x = 1,371,226.92/975.32
  6. Step 6: Final answer
    x = 1,405.93

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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.