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Finding the Fourth Proportional to 1,678.10, 2,516.70 and 507.92

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Solution

The fourth proportional to 1,678.10, 2,516.70 and 507.92 is: 761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.10 : 2,516.70 = 507.92 : x
  2. Step 2: Convert to fraction form
    1,678.10/2,516.70 = 507.92/x
  3. Step 3: Cross multiply
    1,678.10x = 2,516.70 × 507.92
  4. Step 4: Simplify right side
    1,678.10x = 1,278,282.26
  5. Step 5: Solve for x
    x = 1,278,282.26/1,678.10
  6. Step 6: Final answer
    x = 761.74

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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.