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Finding the Fourth Proportional to 462, 697.21 and 459.16

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Solution

The fourth proportional to 462, 697.21 and 459.16 is: 692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462 : 697.21 = 459.16 : x
  2. Step 2: Convert to fraction form
    462/697.21 = 459.16/x
  3. Step 3: Cross multiply
    462x = 697.21 × 459.16
  4. Step 4: Simplify right side
    462x = 320,130.94
  5. Step 5: Solve for x
    x = 320,130.94/462
  6. Step 6: Final answer
    x = 692.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.