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Finding the Fourth Proportional to 526.98, 721.96 and 507.27

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Solution

The fourth proportional to 526.98, 721.96 and 507.27 is: 694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.98 : 721.96 = 507.27 : x
  2. Step 2: Convert to fraction form
    526.98/721.96 = 507.27/x
  3. Step 3: Cross multiply
    526.98x = 721.96 × 507.27
  4. Step 4: Simplify right side
    526.98x = 366,228.65
  5. Step 5: Solve for x
    x = 366,228.65/526.98
  6. Step 6: Final answer
    x = 694.96

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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.