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Finding the Fourth Proportional to 524.80, 714.16 and 524.80

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Solution

The fourth proportional to 524.80, 714.16 and 524.80 is: 714.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.80 : 714.16 = 524.80 : x
  2. Step 2: Convert to fraction form
    524.80/714.16 = 524.80/x
  3. Step 3: Cross multiply
    524.80x = 714.16 × 524.80
  4. Step 4: Simplify right side
    524.80x = 374,791.17
  5. Step 5: Solve for x
    x = 374,791.17/524.80
  6. Step 6: Final answer
    x = 714.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.