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Finding the Fourth Proportional to 507.04, 760.44 and 141.74

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Solution

The fourth proportional to 507.04, 760.44 and 141.74 is: 212.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.04 : 760.44 = 141.74 : x
  2. Step 2: Convert to fraction form
    507.04/760.44 = 141.74/x
  3. Step 3: Cross multiply
    507.04x = 760.44 × 141.74
  4. Step 4: Simplify right side
    507.04x = 107,784.77
  5. Step 5: Solve for x
    x = 107,784.77/507.04
  6. Step 6: Final answer
    x = 212.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.