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Finding the Fourth Proportional to 960.16, 1,440.54 and 730.15

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Solution

The fourth proportional to 960.16, 1,440.54 and 730.15 is: 1,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.16 : 1,440.54 = 730.15 : x
  2. Step 2: Convert to fraction form
    960.16/1,440.54 = 730.15/x
  3. Step 3: Cross multiply
    960.16x = 1,440.54 × 730.15
  4. Step 4: Simplify right side
    960.16x = 1,051,799.43
  5. Step 5: Solve for x
    x = 1,051,799.43/960.16
  6. Step 6: Final answer
    x = 1,095.45

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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.