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Finding the Fourth Proportional to 1,052.98, 1,580.02 and 566

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Solution

The fourth proportional to 1,052.98, 1,580.02 and 566 is: 849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.98 : 1,580.02 = 566 : x
  2. Step 2: Convert to fraction form
    1,052.98/1,580.02 = 566/x
  3. Step 3: Cross multiply
    1,052.98x = 1,580.02 × 566
  4. Step 4: Simplify right side
    1,052.98x = 894,291.32
  5. Step 5: Solve for x
    x = 894,291.32/1,052.98
  6. Step 6: Final answer
    x = 849.30

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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.