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Finding the Fourth Proportional to 1,142.10, 1,712.34 and 557.28

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Solution

The fourth proportional to 1,142.10, 1,712.34 and 557.28 is: 835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.10 : 1,712.34 = 557.28 : x
  2. Step 2: Convert to fraction form
    1,142.10/1,712.34 = 557.28/x
  3. Step 3: Cross multiply
    1,142.10x = 1,712.34 × 557.28
  4. Step 4: Simplify right side
    1,142.10x = 954,252.84
  5. Step 5: Solve for x
    x = 954,252.84/1,142.10
  6. Step 6: Final answer
    x = 835.52

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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.