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Finding the Fourth Proportional to 656.40, 986.40 and 348.42

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Solution

The fourth proportional to 656.40, 986.40 and 348.42 is: 523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.40 : 986.40 = 348.42 : x
  2. Step 2: Convert to fraction form
    656.40/986.40 = 348.42/x
  3. Step 3: Cross multiply
    656.40x = 986.40 × 348.42
  4. Step 4: Simplify right side
    656.40x = 343,681.49
  5. Step 5: Solve for x
    x = 343,681.49/656.40
  6. Step 6: Final answer
    x = 523.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.