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Finding the Fourth Proportional to 697.48, 962.24 and 487.28

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Solution

The fourth proportional to 697.48, 962.24 and 487.28 is: 672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.48 : 962.24 = 487.28 : x
  2. Step 2: Convert to fraction form
    697.48/962.24 = 487.28/x
  3. Step 3: Cross multiply
    697.48x = 962.24 × 487.28
  4. Step 4: Simplify right side
    697.48x = 468,880.31
  5. Step 5: Solve for x
    x = 468,880.31/697.48
  6. Step 6: Final answer
    x = 672.25

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1.5x scale

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.