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Finding the Fourth Proportional to 524.04, 722.88 and 347.01

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Solution

The fourth proportional to 524.04, 722.88 and 347.01 is: 478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.04 : 722.88 = 347.01 : x
  2. Step 2: Convert to fraction form
    524.04/722.88 = 347.01/x
  3. Step 3: Cross multiply
    524.04x = 722.88 × 347.01
  4. Step 4: Simplify right side
    524.04x = 250,846.59
  5. Step 5: Solve for x
    x = 250,846.59/524.04
  6. Step 6: Final answer
    x = 478.68

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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.