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Finding the Fourth Proportional to 973.28, 1,451.35 and 964.51

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Solution

The fourth proportional to 973.28, 1,451.35 and 964.51 is: 1,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.28 : 1,451.35 = 964.51 : x
  2. Step 2: Convert to fraction form
    973.28/1,451.35 = 964.51/x
  3. Step 3: Cross multiply
    973.28x = 1,451.35 × 964.51
  4. Step 4: Simplify right side
    973.28x = 1,399,840.37
  5. Step 5: Solve for x
    x = 1,399,840.37/973.28
  6. Step 6: Final answer
    x = 1,438.27

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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.