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Finding the Fourth Proportional to 1,129.41, 1,558.03 and 756.47

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Solution

The fourth proportional to 1,129.41, 1,558.03 and 756.47 is: 1,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.41 : 1,558.03 = 756.47 : x
  2. Step 2: Convert to fraction form
    1,129.41/1,558.03 = 756.47/x
  3. Step 3: Cross multiply
    1,129.41x = 1,558.03 × 756.47
  4. Step 4: Simplify right side
    1,129.41x = 1,178,602.95
  5. Step 5: Solve for x
    x = 1,178,602.95/1,129.41
  6. Step 6: Final answer
    x = 1,043.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.