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Finding the Fourth Proportional to 970.72, 1,452.44 and 579.28

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Solution

The fourth proportional to 970.72, 1,452.44 and 579.28 is: 866.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.72 : 1,452.44 = 579.28 : x
  2. Step 2: Convert to fraction form
    970.72/1,452.44 = 579.28/x
  3. Step 3: Cross multiply
    970.72x = 1,452.44 × 579.28
  4. Step 4: Simplify right side
    970.72x = 841,369.44
  5. Step 5: Solve for x
    x = 841,369.44/970.72
  6. Step 6: Final answer
    x = 866.75

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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.