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Finding the Fourth Proportional to 765.44, 1,148.15 and 507.08

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Solution

The fourth proportional to 765.44, 1,148.15 and 507.08 is: 760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.44 : 1,148.15 = 507.08 : x
  2. Step 2: Convert to fraction form
    765.44/1,148.15 = 507.08/x
  3. Step 3: Cross multiply
    765.44x = 1,148.15 × 507.08
  4. Step 4: Simplify right side
    765.44x = 582,199.43
  5. Step 5: Solve for x
    x = 582,199.43/765.44
  6. Step 6: Final answer
    x = 760.61

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Double scale
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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.