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Finding the Fourth Proportional to 526.50, 725.36 and 415.94

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Solution

The fourth proportional to 526.50, 725.36 and 415.94 is: 573.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.50 : 725.36 = 415.94 : x
  2. Step 2: Convert to fraction form
    526.50/725.36 = 415.94/x
  3. Step 3: Cross multiply
    526.50x = 725.36 × 415.94
  4. Step 4: Simplify right side
    526.50x = 301,703.65
  5. Step 5: Solve for x
    x = 301,703.65/526.50
  6. Step 6: Final answer
    x = 573.04

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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.