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Finding the Fourth Proportional to 524.14, 723.06 and 347.17

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Solution

The fourth proportional to 524.14, 723.06 and 347.17 is: 478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.14 : 723.06 = 347.17 : x
  2. Step 2: Convert to fraction form
    524.14/723.06 = 347.17/x
  3. Step 3: Cross multiply
    524.14x = 723.06 × 347.17
  4. Step 4: Simplify right side
    524.14x = 251,024.74
  5. Step 5: Solve for x
    x = 251,024.74/524.14
  6. Step 6: Final answer
    x = 478.93

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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.