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Finding the Fourth Proportional to 967.98, 1,335.36 and 653.44

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Solution

The fourth proportional to 967.98, 1,335.36 and 653.44 is: 901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.98 : 1,335.36 = 653.44 : x
  2. Step 2: Convert to fraction form
    967.98/1,335.36 = 653.44/x
  3. Step 3: Cross multiply
    967.98x = 1,335.36 × 653.44
  4. Step 4: Simplify right side
    967.98x = 872,581.17
  5. Step 5: Solve for x
    x = 872,581.17/967.98
  6. Step 6: Final answer
    x = 901.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.