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Finding the Fourth Proportional to 2,046.78, 3,070.20 and 507.78

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Solution

The fourth proportional to 2,046.78, 3,070.20 and 507.78 is: 761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.78 : 3,070.20 = 507.78 : x
  2. Step 2: Convert to fraction form
    2,046.78/3,070.20 = 507.78/x
  3. Step 3: Cross multiply
    2,046.78x = 3,070.20 × 507.78
  4. Step 4: Simplify right side
    2,046.78x = 1,558,986.16
  5. Step 5: Solve for x
    x = 1,558,986.16/2,046.78
  6. Step 6: Final answer
    x = 761.68

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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.