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Finding the Fourth Proportional to 960.24, 1,440.81 and 497.77

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Solution

The fourth proportional to 960.24, 1,440.81 and 497.77 is: 746.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.24 : 1,440.81 = 497.77 : x
  2. Step 2: Convert to fraction form
    960.24/1,440.81 = 497.77/x
  3. Step 3: Cross multiply
    960.24x = 1,440.81 × 497.77
  4. Step 4: Simplify right side
    960.24x = 717,192.96
  5. Step 5: Solve for x
    x = 717,192.96/960.24
  6. Step 6: Final answer
    x = 746.89

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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.