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Finding the Fourth Proportional to 697.47, 962.25 and 487.28

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Solution

The fourth proportional to 697.47, 962.25 and 487.28 is: 672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.47 : 962.25 = 487.28 : x
  2. Step 2: Convert to fraction form
    697.47/962.25 = 487.28/x
  3. Step 3: Cross multiply
    697.47x = 962.25 × 487.28
  4. Step 4: Simplify right side
    697.47x = 468,880.37
  5. Step 5: Solve for x
    x = 468,880.37/697.47
  6. Step 6: Final answer
    x = 672.26

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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.