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Finding the Fourth Proportional to 964.72, 1,440.62 and 756.95

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Solution

The fourth proportional to 964.72, 1,440.62 and 756.95 is: 1,130.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.72 : 1,440.62 = 756.95 : x
  2. Step 2: Convert to fraction form
    964.72/1,440.62 = 756.95/x
  3. Step 3: Cross multiply
    964.72x = 1,440.62 × 756.95
  4. Step 4: Simplify right side
    964.72x = 1,090,482.80
  5. Step 5: Solve for x
    x = 1,090,482.80/964.72
  6. Step 6: Final answer
    x = 1,130.36

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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.