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Finding the Fourth Proportional to 581.68, 800.76 and 507.96

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Solution

The fourth proportional to 581.68, 800.76 and 507.96 is: 699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.68 : 800.76 = 507.96 : x
  2. Step 2: Convert to fraction form
    581.68/800.76 = 507.96/x
  3. Step 3: Cross multiply
    581.68x = 800.76 × 507.96
  4. Step 4: Simplify right side
    581.68x = 406,754.05
  5. Step 5: Solve for x
    x = 406,754.05/581.68
  6. Step 6: Final answer
    x = 699.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.