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Finding the Fourth Proportional to 967.84, 1,445.32 and 917.92

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Solution

The fourth proportional to 967.84, 1,445.32 and 917.92 is: 1,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.84 : 1,445.32 = 917.92 : x
  2. Step 2: Convert to fraction form
    967.84/1,445.32 = 917.92/x
  3. Step 3: Cross multiply
    967.84x = 1,445.32 × 917.92
  4. Step 4: Simplify right side
    967.84x = 1,326,688.13
  5. Step 5: Solve for x
    x = 1,326,688.13/967.84
  6. Step 6: Final answer
    x = 1,370.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.