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Finding the Fourth Proportional to 1,347.01, 2,019.02 and 566.78

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Solution

The fourth proportional to 1,347.01, 2,019.02 and 566.78 is: 849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.01 : 2,019.02 = 566.78 : x
  2. Step 2: Convert to fraction form
    1,347.01/2,019.02 = 566.78/x
  3. Step 3: Cross multiply
    1,347.01x = 2,019.02 × 566.78
  4. Step 4: Simplify right side
    1,347.01x = 1,144,337.32
  5. Step 5: Solve for x
    x = 1,144,337.32/1,347.01
  6. Step 6: Final answer
    x = 849.54

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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.