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Finding the Fourth Proportional to 697.45, 962.31 and 417.79

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Solution

The fourth proportional to 697.45, 962.31 and 417.79 is: 576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.45 : 962.31 = 417.79 : x
  2. Step 2: Convert to fraction form
    697.45/962.31 = 417.79/x
  3. Step 3: Cross multiply
    697.45x = 962.31 × 417.79
  4. Step 4: Simplify right side
    697.45x = 402,043.49
  5. Step 5: Solve for x
    x = 402,043.49/697.45
  6. Step 6: Final answer
    x = 576.45

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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.