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Finding the Fourth Proportional to 524.30, 714.02 and 521.06

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Solution

The fourth proportional to 524.30, 714.02 and 521.06 is: 709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.30 : 714.02 = 521.06 : x
  2. Step 2: Convert to fraction form
    524.30/714.02 = 521.06/x
  3. Step 3: Cross multiply
    524.30x = 714.02 × 521.06
  4. Step 4: Simplify right side
    524.30x = 372,047.26
  5. Step 5: Solve for x
    x = 372,047.26/524.30
  6. Step 6: Final answer
    x = 709.61

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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.