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Finding the Fourth Proportional to 507.62, 700.80 and 389.38

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Solution

The fourth proportional to 507.62, 700.80 and 389.38 is: 537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.62 : 700.80 = 389.38 : x
  2. Step 2: Convert to fraction form
    507.62/700.80 = 389.38/x
  3. Step 3: Cross multiply
    507.62x = 700.80 × 389.38
  4. Step 4: Simplify right side
    507.62x = 272,877.50
  5. Step 5: Solve for x
    x = 272,877.50/507.62
  6. Step 6: Final answer
    x = 537.56

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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.