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Finding the Fourth Proportional to 697.58, 962.64 and 387.08

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Solution

The fourth proportional to 697.58, 962.64 and 387.08 is: 534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.58 : 962.64 = 387.08 : x
  2. Step 2: Convert to fraction form
    697.58/962.64 = 387.08/x
  3. Step 3: Cross multiply
    697.58x = 962.64 × 387.08
  4. Step 4: Simplify right side
    697.58x = 372,618.69
  5. Step 5: Solve for x
    x = 372,618.69/697.58
  6. Step 6: Final answer
    x = 534.16

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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.