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Finding the Fourth Proportional to 525.91, 725.36 and 502.65

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Solution

The fourth proportional to 525.91, 725.36 and 502.65 is: 693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.91 : 725.36 = 502.65 : x
  2. Step 2: Convert to fraction form
    525.91/725.36 = 502.65/x
  3. Step 3: Cross multiply
    525.91x = 725.36 × 502.65
  4. Step 4: Simplify right side
    525.91x = 364,602.20
  5. Step 5: Solve for x
    x = 364,602.20/525.91
  6. Step 6: Final answer
    x = 693.28

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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.