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Finding the Fourth Proportional to 1,127.10, 1,690.96 and 570.46

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Solution

The fourth proportional to 1,127.10, 1,690.96 and 570.46 is: 855.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.10 : 1,690.96 = 570.46 : x
  2. Step 2: Convert to fraction form
    1,127.10/1,690.96 = 570.46/x
  3. Step 3: Cross multiply
    1,127.10x = 1,690.96 × 570.46
  4. Step 4: Simplify right side
    1,127.10x = 964,625.04
  5. Step 5: Solve for x
    x = 964,625.04/1,127.10
  6. Step 6: Final answer
    x = 855.85

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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.