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Finding the Fourth Proportional to 462.39, 695.91 and 347.45

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Solution

The fourth proportional to 462.39, 695.91 and 347.45 is: 522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.39 : 695.91 = 347.45 : x
  2. Step 2: Convert to fraction form
    462.39/695.91 = 347.45/x
  3. Step 3: Cross multiply
    462.39x = 695.91 × 347.45
  4. Step 4: Simplify right side
    462.39x = 241,790.45
  5. Step 5: Solve for x
    x = 241,790.45/462.39
  6. Step 6: Final answer
    x = 522.91

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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.