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Finding the Fourth Proportional to 507.78, 696.19 and 501.55

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Solution

The fourth proportional to 507.78, 696.19 and 501.55 is: 687.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.78 : 696.19 = 501.55 : x
  2. Step 2: Convert to fraction form
    507.78/696.19 = 501.55/x
  3. Step 3: Cross multiply
    507.78x = 696.19 × 501.55
  4. Step 4: Simplify right side
    507.78x = 349,171.10
  5. Step 5: Solve for x
    x = 349,171.10/507.78
  6. Step 6: Final answer
    x = 687.64

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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.