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Finding the Fourth Proportional to 964.76, 1,440.16 and 847.99

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Solution

The fourth proportional to 964.76, 1,440.16 and 847.99 is: 1,265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.76 : 1,440.16 = 847.99 : x
  2. Step 2: Convert to fraction form
    964.76/1,440.16 = 847.99/x
  3. Step 3: Cross multiply
    964.76x = 1,440.16 × 847.99
  4. Step 4: Simplify right side
    964.76x = 1,221,237.04
  5. Step 5: Solve for x
    x = 1,221,237.04/964.76
  6. Step 6: Final answer
    x = 1,265.85

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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.