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Finding the Fourth Proportional to 507.61, 760.40 and 434.85

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Solution

The fourth proportional to 507.61, 760.40 and 434.85 is: 651.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.61 : 760.40 = 434.85 : x
  2. Step 2: Convert to fraction form
    507.61/760.40 = 434.85/x
  3. Step 3: Cross multiply
    507.61x = 760.40 × 434.85
  4. Step 4: Simplify right side
    507.61x = 330,659.94
  5. Step 5: Solve for x
    x = 330,659.94/507.61
  6. Step 6: Final answer
    x = 651.41

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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.