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Finding the Fourth Proportional to 507.04, 697.74 and 382.48

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Solution

The fourth proportional to 507.04, 697.74 and 382.48 is: 526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.04 : 697.74 = 382.48 : x
  2. Step 2: Convert to fraction form
    507.04/697.74 = 382.48/x
  3. Step 3: Cross multiply
    507.04x = 697.74 × 382.48
  4. Step 4: Simplify right side
    507.04x = 266,871.60
  5. Step 5: Solve for x
    x = 266,871.60/507.04
  6. Step 6: Final answer
    x = 526.33

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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.