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Finding the Fourth Proportional to 972.78, 1,450.61 and 964.01

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Solution

The fourth proportional to 972.78, 1,450.61 and 964.01 is: 1,437.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.78 : 1,450.61 = 964.01 : x
  2. Step 2: Convert to fraction form
    972.78/1,450.61 = 964.01/x
  3. Step 3: Cross multiply
    972.78x = 1,450.61 × 964.01
  4. Step 4: Simplify right side
    972.78x = 1,398,395.30
  5. Step 5: Solve for x
    x = 1,398,395.30/972.78
  6. Step 6: Final answer
    x = 1,437.52

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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.