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Finding the Fourth Proportional to 643.12, 964.44 and 507.76

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Solution

The fourth proportional to 643.12, 964.44 and 507.76 is: 761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.12 : 964.44 = 507.76 : x
  2. Step 2: Convert to fraction form
    643.12/964.44 = 507.76/x
  3. Step 3: Cross multiply
    643.12x = 964.44 × 507.76
  4. Step 4: Simplify right side
    643.12x = 489,704.05
  5. Step 5: Solve for x
    x = 489,704.05/643.12
  6. Step 6: Final answer
    x = 761.45

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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.