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Finding the Fourth Proportional to 697.19, 961.93 and 417.31

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Solution

The fourth proportional to 697.19, 961.93 and 417.31 is: 575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.19 : 961.93 = 417.31 : x
  2. Step 2: Convert to fraction form
    697.19/961.93 = 417.31/x
  3. Step 3: Cross multiply
    697.19x = 961.93 × 417.31
  4. Step 4: Simplify right side
    697.19x = 401,423.01
  5. Step 5: Solve for x
    x = 401,423.01/697.19
  6. Step 6: Final answer
    x = 575.77

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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.