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Finding the Fourth Proportional to 524.72, 717.84 and 522.50

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Solution

The fourth proportional to 524.72, 717.84 and 522.50 is: 714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.72 : 717.84 = 522.50 : x
  2. Step 2: Convert to fraction form
    524.72/717.84 = 522.50/x
  3. Step 3: Cross multiply
    524.72x = 717.84 × 522.50
  4. Step 4: Simplify right side
    524.72x = 375,071.40
  5. Step 5: Solve for x
    x = 375,071.40/524.72
  6. Step 6: Final answer
    x = 714.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.