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Finding the Fourth Proportional to 642.53, 965.95 and 507.21

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Solution

The fourth proportional to 642.53, 965.95 and 507.21 is: 762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.53 : 965.95 = 507.21 : x
  2. Step 2: Convert to fraction form
    642.53/965.95 = 507.21/x
  3. Step 3: Cross multiply
    642.53x = 965.95 × 507.21
  4. Step 4: Simplify right side
    642.53x = 489,939.50
  5. Step 5: Solve for x
    x = 489,939.50/642.53
  6. Step 6: Final answer
    x = 762.52

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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.