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Finding the Fourth Proportional to 613.48, 924.44 and 507.64

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Solution

The fourth proportional to 613.48, 924.44 and 507.64 is: 764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.48 : 924.44 = 507.64 : x
  2. Step 2: Convert to fraction form
    613.48/924.44 = 507.64/x
  3. Step 3: Cross multiply
    613.48x = 924.44 × 507.64
  4. Step 4: Simplify right side
    613.48x = 469,282.72
  5. Step 5: Solve for x
    x = 469,282.72/613.48
  6. Step 6: Final answer
    x = 764.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.