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Finding the Fourth Proportional to 962.58, 1,327.47 and 722.35

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Solution

The fourth proportional to 962.58, 1,327.47 and 722.35 is: 996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.58 : 1,327.47 = 722.35 : x
  2. Step 2: Convert to fraction form
    962.58/1,327.47 = 722.35/x
  3. Step 3: Cross multiply
    962.58x = 1,327.47 × 722.35
  4. Step 4: Simplify right side
    962.58x = 958,891.32
  5. Step 5: Solve for x
    x = 958,891.32/962.58
  6. Step 6: Final answer
    x = 996.17

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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.