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Finding the Fourth Proportional to 964.85, 1,445.28 and 651.53

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Solution

The fourth proportional to 964.85, 1,445.28 and 651.53 is: 975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.85 : 1,445.28 = 651.53 : x
  2. Step 2: Convert to fraction form
    964.85/1,445.28 = 651.53/x
  3. Step 3: Cross multiply
    964.85x = 1,445.28 × 651.53
  4. Step 4: Simplify right side
    964.85x = 941,636.05
  5. Step 5: Solve for x
    x = 941,636.05/964.85
  6. Step 6: Final answer
    x = 975.95

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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.